Question 1
Statements:
All herbivores are mammals.
No mammals is a fish.
Conclusions:
I. Some fish are herbivores.
II. No fish is a herbivores.
Complementary Pair Concept:
Conclusions I and II form a complementary pair: "Some fish are herbivores" and "No fish is a herbivores"
These are opposite statements - at least one MUST be true.
Venn Diagram Method:
Step 1: "All herbivores are mammals" → Circle of herbivores inside mammals
Step 2: "No mammals is a fish" → Circles of mammals and fish completely separate
Step 3: Since herbivores is inside mammals, and mammals is separate from fish, then herbivores is also separate from fish
Step 4: Result: "No fish is a herbivores" is TRUE
Analytical Method:
All herbivores are mammals (A) + No mammals is a fish (E) = A + E = E = No herbivores is a fish
By conversion: No fish is a herbivores
Either-Or Case:
Since the conclusions form a complementary pair and one is definitely true, answer is "Either-Or".
Answer: Either conclusion I or II follows
Conclusions I and II form a complementary pair: "Some fish are herbivores" and "No fish is a herbivores"
These are opposite statements - at least one MUST be true.
Venn Diagram Method:
Step 1: "All herbivores are mammals" → Circle of herbivores inside mammals
Step 2: "No mammals is a fish" → Circles of mammals and fish completely separate
Step 3: Since herbivores is inside mammals, and mammals is separate from fish, then herbivores is also separate from fish
Step 4: Result: "No fish is a herbivores" is TRUE
Analytical Method:
All herbivores are mammals (A) + No mammals is a fish (E) = A + E = E = No herbivores is a fish
By conversion: No fish is a herbivores
Either-Or Case:
Since the conclusions form a complementary pair and one is definitely true, answer is "Either-Or".
Answer: Either conclusion I or II follows