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Coding Inequalities - Intermediate Level: inequality chains INTERMEDIATE

Boost your speed and accuracy with this adaptive style πŸ“ˆ worksheet. Worksheet 15 of 30 presents 20 intermediate-level coding inequalities problems. Focus on inequality chains while practicing coded inequalities, symbolic inequalities, code-based comparison. Difficulty: moderate complexity with mixed patterns. Perfect for mid-level test takers.

πŸ“ Worksheet 15 of 30 β€’ 20 questions β€’ ⏱️ Estimated time: 20 minutes β€’ 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Coding Inequalities
Worksheet 15 of 30 (50% complete)

Question 1

Directions: Ξ± = >, Ξ² = <, Ξ³ = =, Ξ΄ = >=, Ξ΅ = <=, ΞΆ = != Statement: Z Ξ² V Ξ± B Conclusions: I. Z β‰₯ B II. Z = B Which of the following is true?
Decoded statement: Z < V > B

Conclusion I (Z β‰₯ B): Does not follow
Conclusion II (Z = B): Does not follow

Therefore, Neither I nor II is correct.
basic, symbols

Question 2

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: F * A * R Conclusions: I. F < R II. F > R Which of the following is true?
Decoded statement: F > A > R

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

Therefore, II only is correct.
basic, symbols

Question 3

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

Conclusion I (G > X): Does not follow
Conclusion II (G = X): Does not follow

Therefore, Neither I nor II is correct.
basic, symbols

Question 4

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

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.
boolean, logic, complementary

Question 5

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

Conclusion I (V ≀ H): Does not follow
Conclusion II (V < H): Does not follow

Therefore, Neither I nor II is correct.
basic, symbols

Question 6

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

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

Therefore, I only is correct.
complex, mixed

Question 7

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statements: V @ R, X $ C, Z % Y Conclusions: I. V > X II. R < C Which of the following is true?
Decoded statements: V > R, X = C, Z >= Y

Since the statements involve different variables with no connecting links, no definite relationship can be established between V and X or between R and C.

Therefore, Neither I nor II is correct.
multiple, analysis

Question 8

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statements: Q / T, E / V Conclusions: I. Q > E II. T < V Which of the following is true?
Decoded statements: Q <= T, E <= V

Since the statements involve different variables with no connecting links, no definite relationship can be established between Q and E or between T and V.

Therefore, Neither I nor II is correct.
multiple, analysis

Question 9

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

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

Therefore, II only is correct.
chain, sequence

Question 10

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

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.
boolean, logic, complementary

Question 11

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

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.
boolean, logic, complementary

Question 12

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

Since the statements involve different variables with no connecting links, no definite relationship can be established between Y and V or between E and U.

Therefore, Neither I nor II is correct.
multiple, analysis

Question 13

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

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

Therefore, I only is correct.
complex, mixed

Question 14

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

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

Therefore, II only is correct.
transitive, logic

Question 15

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

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

Therefore, Neither I nor II is correct.
transitive, logic

Question 16

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

Conclusion I (S ≀ R): Does not follow
Conclusion II (S > R): Does not follow

Therefore, Neither I nor II is correct.
basic, symbols

Question 17

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

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

Therefore, Neither I nor II is correct.
transitive, logic

Question 18

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statement: T # C # R Conclusions: I. T β‰₯ R II. T < R Which of the following is true?
Decoded statement: T < C < R

Conclusion I (T β‰₯ R): Does not follow
Conclusion II (T < R): Follows

Therefore, II only is correct.
basic, symbols

Question 19

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

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

Therefore, Neither I nor II is correct.
chain, sequence

Question 20

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

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

Therefore, II only is correct.
transitive, logic
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