Coding Inequalities - Beginner-Intermediate Level: coded comparisons BEGINNER-INTERMEDIATE

Strategic fast track practice for coding inequalities: 20 beginner-intermediate-level problems. Worksheet 9 of 30 - Focus: coded comparisons. Develop expertise in symbolic inequalities, code-based comparison, inequality codes with step-by-step solutions. Ideal for developing learners targeting building on fundamentals with moderate challenges.

πŸ“ Worksheet 9 of 30 β€’ 20 questions β€’ ⏱️ Estimated time: 20 minutes β€’ 🎯 Beginner-intermediate level

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Worksheet 9 of 30 (30% complete)

Question 1

Directions: Ξ” = >, βˆ‡ = <, β—Œ = =, β–‘ = >=, β—‹ = <=, β˜† = != Statement: Z Ξ” U βˆ‡ Q Conclusions: I. Z β‰₯ Q II. Z < Q Which of the following is true?
Decoded statement: Z > U < Q

Since the conclusions are complementary (one is the exact opposite of the other), exactly one of them must be true. Therefore, either I or II follows.

Question 2

Directions: Ξ” = >, βˆ‡ = <, β—Œ = =, β–‘ = >=, β—‹ = <=, β˜† = != Statement: W Ξ” B βˆ‡ E Conclusions: I. W = E II. W β‰  E Which of the following is true?
Decoded statement: W > B < E

Since the conclusions are complementary (one is the exact opposite of the other), exactly one of them must be true. Therefore, either I or II follows.

Question 3

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: W = Z Z - B B + X Conclusions: I. W > X II. W < X Which of the following is true?
Decoded statement: W = Z Z >= B B < X

Conclusion I (W > X): Does not follow
Conclusion II (W < X): Does not follow

Therefore, Neither I nor II is correct.

Question 4

Directions: β†’ = >, ← = <, ↔ = =, β‡’ = >=, ⇐ = <=, ⇔ = != Statement: C β†’ T β†’ B ← R ↔ E Conclusions: I. C > B II. B < E Which of the following is true?
Decoded statement: C > T > B < R = E

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

Therefore, Neither I nor II is correct.

Question 5

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statement: Q ^ Y Y @ F F $ C C % B Conclusions: I. Y > C II. Y < C Which of the following is true?
Decoded statement: Q <= Y Y > F F = C C >= B

Conclusion I (Y > C): Does not follow
Conclusion II (Y < C): Does not follow

Therefore, Neither I nor II is correct.

Question 6

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statements: H % G, R # E Conclusions: I. H > R II. G < E Which of the following is true?
Decoded statements: H >= G, R < E

Since the statements involve different variables with no connecting links, no definite relationship can be established between H and R or between G and E.

Therefore, Neither I nor II is correct.

Question 7

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statements: D / W, H - S, V / C Conclusions: I. D > H II. W < S Which of the following is true?
Decoded statements: D <= W, H >= S, V <= C

Since the statements involve different variables with no connecting links, no definite relationship can be established between D and H or between W and S.

Therefore, Neither I nor II is correct.

Question 8

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statement: F $ B $ Q Conclusions: I. F ≀ Q II. F > Q Which of the following is true?
Decoded statement: F = B = Q

Conclusion I (F ≀ Q): Does not follow
Conclusion II (F > Q): Does not follow

Therefore, Neither I nor II is correct.

Question 9

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statement: E # F F # X X @ C Conclusions: I. E > C II. E < C Which of the following is true?
Decoded statement: E < F F < X X > C

Conclusion I (E > C): Does not follow
Conclusion II (E < C): Does not follow

Therefore, Neither I nor II is correct.

Question 10

Directions: Ξ± = >, Ξ² = <, Ξ³ = =, Ξ΄ = >=, Ξ΅ = <=, ΞΆ = != Statement: R Ξ³ Q Ξ³ F Conclusions: I. R > F II. R < F Which of the following is true?
Decoded statement: R = Q = F

Conclusion I (R > F): Does not follow
Conclusion II (R < F): Does not follow

Therefore, Neither I nor II is correct.

Question 11

Directions: β†’ = >, ← = <, ↔ = =, β‡’ = >=, ⇐ = <=, ⇔ = != Statement: S β†’ D ↔ Z ← R β†’ C Conclusions: I. S > Z II. Z < C Which of the following is true?
Decoded statement: S > D = Z < R > C

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

Therefore, I only is correct.

Question 12

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: R * E E / V V = Y Y + H Conclusions: I. R = H II. R β‰  H Which of the following is true?
Decoded statement: R > E E <= V V = Y Y < H

Conclusion I (R = H): Does not follow
Conclusion II (R β‰  H): Follows

Therefore, II only is correct.

Question 13

Directions: β†’ = >, ← = <, ↔ = =, β‡’ = >=, ⇐ = <=, ⇔ = != Statement: W ← V ← X β†’ B ↔ F Conclusions: I. W > X II. X < F Which of the following is true?
Decoded statement: W < V < X > B = F

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

Therefore, Neither I nor II is correct.

Question 14

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statement: D # Y Y @ V V $ H H @ U Conclusions: I. D = U II. D β‰  U Which of the following is true?
Decoded statement: D < Y Y > V V = H H > U

Conclusion I (D = U): Does not follow
Conclusion II (D β‰  U): Follows

Therefore, II only is correct.

Question 15

Directions: β†’ = >, ← = <, ↔ = =, β‡’ = >=, ⇐ = <=, ⇔ = != Statement: P ← U ← X ← C ← Z Conclusions: I. P < X II. X > Z Which of the following is true?
Decoded statement: P < U < X < C < Z

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

Therefore, II only is correct.

Question 16

Directions: β†’ = >, ← = <, ↔ = =, β‡’ = >=, ⇐ = <=, ⇔ = != Statement: U ← T ← A β†’ S ↔ P Conclusions: I. U > A II. A < P Which of the following is true?
Decoded statement: U < T < A > S = P

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

Therefore, Neither I nor II is correct.

Question 17

Directions: β†’ = >, ← = <, ↔ = =, β‡’ = >=, ⇐ = <=, ⇔ = != Statement: P β†’ Z β†’ D β†’ H β†’ W Conclusions: I. P > D II. D < W Which of the following is true?
Decoded statement: P > Z > D > H > W

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

Therefore, I only is correct.

Question 18

Directions: β†’ = >, ← = <, ↔ = =, β‡’ = >=, ⇐ = <=, ⇔ = != Statement: Z β†’ Y β†’ A β†’ F β†’ D Conclusions: I. Z > A II. A < D Which of the following is true?
Decoded statement: Z > Y > A > F > D

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

Therefore, I only is correct.

Question 19

Directions: ♦ = >, β™  = <, β™₯ = =, ♣ = >=, β—Š = <=, β˜… = != Statement: V ♦ F β™  E β™₯ Z Conclusions: I. F < E II. V > Z Which of the following is true?
Decoded statement: V > F < E = Z

Pattern: A > B < C = D
A > D cannot be determined, B < C is true

Therefore, I only is correct.

Question 20

Directions: Ξ” = >, βˆ‡ = <, β—Œ = =, β–‘ = >=, β—‹ = <=, β˜† = != Statement: V Ξ” W βˆ‡ Q Conclusions: I. V > Q II. V ≀ Q Which of the following is true?
Decoded statement: V > W < Q

Since the conclusions are complementary (one is the exact opposite of the other), exactly one of them must be true. Therefore, either I or II follows.
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