Complementary Pair All-SomeNot: Worksheet 10 - Expert Practice Complementary Pair All-SomeNot EXPERT

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All writers are pharmacists" (A-type)
- "Some writers are not pharmacists" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some writers are musicians" → Partial overlap
Step 2: "All musicians are pharmacists" → musicians inside pharmacists
Step 3: The part of writers overlapping with musicians is definitely inside pharmacists
Step 4: But we DON'T know about the rest of writers

Possible Cases:
Case 1: All of writers inside pharmacists → Conclusion I true
Case 2: Some of writers outside pharmacists → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All beautiful are accessible" (A-type)
- "Some beautiful are not accessible" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some beautiful are sustainable" → Partial overlap
Step 2: "All sustainable are accessible" → sustainable inside accessible
Step 3: The part of beautiful overlapping with sustainable is definitely inside accessible
Step 4: But we DON'T know about the rest of beautiful

Possible Cases:
Case 1: All of beautiful inside accessible → Conclusion I true
Case 2: Some of beautiful outside accessible → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All fish are mammals" (A-type)
- "Some fish are not mammals" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some fish are wild" → Partial overlap
Step 2: "All wild are mammals" → wild inside mammals
Step 3: The part of fish overlapping with wild is definitely inside mammals
Step 4: But we DON'T know about the rest of fish

Possible Cases:
Case 1: All of fish inside mammals → Conclusion I true
Case 2: Some of fish outside mammals → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All versatile are efficient" (A-type)
- "Some versatile are not efficient" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some versatile are valuable" → Partial overlap
Step 2: "All valuable are efficient" → valuable inside efficient
Step 3: The part of versatile overlapping with valuable is definitely inside efficient
Step 4: But we DON'T know about the rest of versatile

Possible Cases:
Case 1: All of versatile inside efficient → Conclusion I true
Case 2: Some of versatile outside efficient → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All valuable are efficient" (A-type)
- "Some valuable are not efficient" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some valuable are innovative" → Partial overlap
Step 2: "All innovative are efficient" → innovative inside efficient
Step 3: The part of valuable overlapping with innovative is definitely inside efficient
Step 4: But we DON'T know about the rest of valuable

Possible Cases:
Case 1: All of valuable inside efficient → Conclusion I true
Case 2: Some of valuable outside efficient → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All vertebrates are nocturnal" (A-type)
- "Some vertebrates are not nocturnal" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some vertebrates are birds" → Partial overlap
Step 2: "All birds are nocturnal" → birds inside nocturnal
Step 3: The part of vertebrates overlapping with birds is definitely inside nocturnal
Step 4: But we DON'T know about the rest of vertebrates

Possible Cases:
Case 1: All of vertebrates inside nocturnal → Conclusion I true
Case 2: Some of vertebrates outside nocturnal → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All furniture are machines" (A-type)
- "Some furniture are not machines" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some furniture are electronics" → Partial overlap
Step 2: "All electronics are machines" → electronics inside machines
Step 3: The part of furniture overlapping with electronics is definitely inside machines
Step 4: But we DON'T know about the rest of furniture

Possible Cases:
Case 1: All of furniture inside machines → Conclusion I true
Case 2: Some of furniture outside machines → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All processes are strategies" (A-type)
- "Some processes are not strategies" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some processes are structures" → Partial overlap
Step 2: "All structures are strategies" → structures inside strategies
Step 3: The part of processes overlapping with structures is definitely inside strategies
Step 4: But we DON'T know about the rest of processes

Possible Cases:
Case 1: All of processes inside strategies → Conclusion I true
Case 2: Some of processes outside strategies → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All gadgets are appliances" (A-type)
- "Some gadgets are not appliances" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some gadgets are equipment" → Partial overlap
Step 2: "All equipment are appliances" → equipment inside appliances
Step 3: The part of gadgets overlapping with equipment is definitely inside appliances
Step 4: But we DON'T know about the rest of gadgets

Possible Cases:
Case 1: All of gadgets inside appliances → Conclusion I true
Case 2: Some of gadgets outside appliances → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All cold-blooded are warm-blooded" (A-type)
- "Some cold-blooded are not warm-blooded" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some cold-blooded are fish" → Partial overlap
Step 2: "All fish are warm-blooded" → fish inside warm-blooded
Step 3: The part of cold-blooded overlapping with fish is definitely inside warm-blooded
Step 4: But we DON'T know about the rest of cold-blooded

Possible Cases:
Case 1: All of cold-blooded inside warm-blooded → Conclusion I true
Case 2: Some of cold-blooded outside warm-blooded → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All frameworks are theories" (A-type)
- "Some frameworks are not theories" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some frameworks are systems" → Partial overlap
Step 2: "All systems are theories" → systems inside theories
Step 3: The part of frameworks overlapping with systems is definitely inside theories
Step 4: But we DON'T know about the rest of frameworks

Possible Cases:
Case 1: All of frameworks inside theories → Conclusion I true
Case 2: Some of frameworks outside theories → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All wild are nocturnal" (A-type)
- "Some wild are not nocturnal" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some wild are herbivores" → Partial overlap
Step 2: "All herbivores are nocturnal" → herbivores inside nocturnal
Step 3: The part of wild overlapping with herbivores is definitely inside nocturnal
Step 4: But we DON'T know about the rest of wild

Possible Cases:
Case 1: All of wild inside nocturnal → Conclusion I true
Case 2: Some of wild outside nocturnal → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All athletes are architects" (A-type)
- "Some athletes are not architects" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some athletes are scientists" → Partial overlap
Step 2: "All scientists are architects" → scientists inside architects
Step 3: The part of athletes overlapping with scientists is definitely inside architects
Step 4: But we DON'T know about the rest of athletes

Possible Cases:
Case 1: All of athletes inside architects → Conclusion I true
Case 2: Some of athletes outside architects → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All processes are frameworks" (A-type)
- "Some processes are not frameworks" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some processes are concepts" → Partial overlap
Step 2: "All concepts are frameworks" → concepts inside frameworks
Step 3: The part of processes overlapping with concepts is definitely inside frameworks
Step 4: But we DON'T know about the rest of processes

Possible Cases:
Case 1: All of processes inside frameworks → Conclusion I true
Case 2: Some of processes outside frameworks → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All herbivores are amphibians" (A-type)
- "Some herbivores are not amphibians" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some herbivores are birds" → Partial overlap
Step 2: "All birds are amphibians" → birds inside amphibians
Step 3: The part of herbivores overlapping with birds is definitely inside amphibians
Step 4: But we DON'T know about the rest of herbivores

Possible Cases:
Case 1: All of herbivores inside amphibians → Conclusion I true
Case 2: Some of herbivores outside amphibians → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All scientists are musicians" (A-type)
- "Some scientists are not musicians" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some scientists are nurses" → Partial overlap
Step 2: "All nurses are musicians" → nurses inside musicians
Step 3: The part of scientists overlapping with nurses is definitely inside musicians
Step 4: But we DON'T know about the rest of scientists

Possible Cases:
Case 1: All of scientists inside musicians → Conclusion I true
Case 2: Some of scientists outside musicians → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All electronics are instruments" (A-type)
- "Some electronics are not instruments" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some electronics are equipment" → Partial overlap
Step 2: "All equipment are instruments" → equipment inside instruments
Step 3: The part of electronics overlapping with equipment is definitely inside instruments
Step 4: But we DON'T know about the rest of electronics

Possible Cases:
Case 1: All of electronics inside instruments → Conclusion I true
Case 2: Some of electronics outside instruments → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All instruments are utensils" (A-type)
- "Some instruments are not utensils" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some instruments are appliances" → Partial overlap
Step 2: "All appliances are utensils" → appliances inside utensils
Step 3: The part of instruments overlapping with appliances is definitely inside utensils
Step 4: But we DON'T know about the rest of instruments

Possible Cases:
Case 1: All of instruments inside utensils → Conclusion I true
Case 2: Some of instruments outside utensils → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All lawyers are architects" (A-type)
- "Some lawyers are not architects" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some lawyers are teachers" → Partial overlap
Step 2: "All teachers are architects" → teachers inside architects
Step 3: The part of lawyers overlapping with teachers is definitely inside architects
Step 4: But we DON'T know about the rest of lawyers

Possible Cases:
Case 1: All of lawyers inside architects → Conclusion I true
Case 2: Some of lawyers outside architects → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows

Complementary Pair Analysis:
Conclusions I and II form a complementary pair:
- "All musicians are artists" (A-type)
- "Some musicians are not artists" (O-type)
These are opposite statements where at least one can be true.

Venn Diagram:
Step 1: "Some musicians are accountants" → Partial overlap
Step 2: "All accountants are artists" → accountants inside artists
Step 3: The part of musicians overlapping with accountants is definitely inside artists
Step 4: But we DON'T know about the rest of musicians

Possible Cases:
Case 1: All of musicians inside artists → Conclusion I true
Case 2: Some of musicians outside artists → Conclusion II true

Either-Or Rule:
When conclusions form complementary pair "All" and "Some not", answer is "Either-Or".

Answer: Either conclusion I or II follows