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Transitive Relations - Absolute-Beginner Level: core concept mastery Transitive Relations ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Transitive Relations - a key topic in Coding Inequalities. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master transitive relations problems, transitive relations reasoning questions, and transitive relations practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Transitive Relations
Worksheet 1 of 10 (0% complete)

Question 1

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: H ← F ← G → R ↔ X Conclusions: I. H > G II. G < X Which of the following is true?
Decoded statement: H < F < G > R = X

Chain: A < B < C > D = E
No transitive relation between A-C or C-E

Therefore, Neither I nor II is correct.

Question 2

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: X ← C ← T → F ↔ D Conclusions: I. X > T II. T < D Which of the following is true?
Decoded statement: X < C < T > F = D

Chain: A < B < C > D = E
No transitive relation between A-C or C-E

Therefore, Neither I nor II is correct.

Question 3

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: A ← H ← T → W ↔ S Conclusions: I. A > T II. T < S Which of the following is true?
Decoded statement: A < H < T > W = S

Chain: A < B < C > D = E
No transitive relation between A-C or C-E

Therefore, Neither I nor II is correct.

Question 4

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: Z ← S ← V ← P ← C Conclusions: I. Z < V II. V > C Which of the following is true?
Decoded statement: Z < S < V < P < C

Chain: A < B < C < D < E
Z < V does not follow, V < C follows by transitivity

Therefore, II only is correct.

Question 5

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: F ← G ← T → R ↔ H Conclusions: I. F > T II. T < H Which of the following is true?
Decoded statement: F < G < T > R = H

Chain: A < B < C > D = E
No transitive relation between A-C or C-E

Therefore, Neither I nor II is correct.

Question 6

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: D ← F ← G → Q ↔ U Conclusions: I. D > G II. G < U Which of the following is true?
Decoded statement: D < F < G > Q = U

Chain: A < B < C > D = E
No transitive relation between A-C or C-E

Therefore, Neither I nor II is correct.

Question 7

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: W ← Y ← D ← A ← E Conclusions: I. W < D II. D > E Which of the following is true?
Decoded statement: W < Y < D < A < E

Chain: A < B < C < D < E
W < D does not follow, D < E follows by transitivity

Therefore, II only is correct.

Question 8

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: X ← H ← T → U ↔ G Conclusions: I. X > T II. T < G Which of the following is true?
Decoded statement: X < H < T > U = G

Chain: A < B < C > D = E
No transitive relation between A-C or C-E

Therefore, Neither I nor II is correct.

Question 9

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: G ← S ← Z ← V ← Q Conclusions: I. G < Z II. Z > Q Which of the following is true?
Decoded statement: G < S < Z < V < Q

Chain: A < B < C < D < E
G < Z does not follow, Z < Q follows by transitivity

Therefore, II only is correct.

Question 10

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: F ← Y ← U → E ↔ C Conclusions: I. F > U II. U < C Which of the following is true?
Decoded statement: F < Y < U > E = C

Chain: A < B < C > D = E
No transitive relation between A-C or C-E

Therefore, Neither I nor II is correct.

Question 11

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: X → V → Z → U → P Conclusions: I. X > Z II. Z < P Which of the following is true?
Decoded statement: X > V > Z > U > P

Chain: A > B > C > D > E
X > Z follows by transitivity, Z < P does not follow

Therefore, I only is correct.

Question 12

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: B ← D ← R ← H ← F Conclusions: I. B < R II. R > F Which of the following is true?
Decoded statement: B < D < R < H < F

Chain: A < B < C < D < E
B < R does not follow, R < F follows by transitivity

Therefore, II only is correct.

Question 13

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: F → E → W → Z → H Conclusions: I. F > W II. W < H Which of the following is true?
Decoded statement: F > E > W > Z > H

Chain: A > B > C > D > E
F > W follows by transitivity, W < H does not follow

Therefore, I only is correct.

Question 14

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: S ← T ← Z ← R ← W Conclusions: I. S < Z II. Z > W Which of the following is true?
Decoded statement: S < T < Z < R < W

Chain: A < B < C < D < E
S < Z does not follow, Z < W follows by transitivity

Therefore, II only is correct.

Question 15

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: E ← P ← W → Q ↔ T Conclusions: I. E > W II. W < T Which of the following is true?
Decoded statement: E < P < W > Q = T

Chain: A < B < C > D = E
No transitive relation between A-C or C-E

Therefore, Neither I nor II is correct.

Question 16

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: V → F → Y → G → P Conclusions: I. V > Y II. Y < P Which of the following is true?
Decoded statement: V > F > Y > G > P

Chain: A > B > C > D > E
V > Y follows by transitivity, Y < P does not follow

Therefore, I only is correct.

Question 17

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: S ← B ↔ D → A ← F Conclusions: I. S < D II. D > F Which of the following is true?
Decoded statement: S < B = D > A < F

Chain: A < B = C > D < E
S < D does not follow, D > F follows (C > D < E not transitive)

Therefore, II only is correct.

Question 18

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: X ← Y ↔ T → Q ← F Conclusions: I. X < T II. T > F Which of the following is true?
Decoded statement: X < Y = T > Q < F

Chain: A < B = C > D < E
X < T does not follow, T > F follows (C > D < E not transitive)

Therefore, II only is correct.

Question 19

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: R → F → H → E → Q Conclusions: I. R > H II. H < Q Which of the following is true?
Decoded statement: R > F > H > E > Q

Chain: A > B > C > D > E
R > H follows by transitivity, H < Q does not follow

Therefore, I only is correct.

Question 20

Directions: → = >, ← = <, ↔ = =, ⇒ = >=, ⇐ = <=, ⇔ = != Statement: X → Y → U ← F ↔ S Conclusions: I. X > U II. U < S Which of the following is true?
Decoded statement: X > Y > U < F = S

Chain: A > B > C < D = E
No transitive relation between A-C or C-E

Therefore, Neither I nor II is correct.
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