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Coding Inequalities - Intermediate-Advanced Level: symbol inequality INTERMEDIATE-ADVANCED

This fundamentals focus worksheet contains 20 intermediate-advanced-level coding inequalities problems. Worksheet 21 of 30 focuses on symbol inequality. Practice code decoding, inequality logic, coded comparisons with our step-by-step solutions. Difficulty: advanced concepts with increasing complexity. Recommended for advanced developing learners.

πŸ“ Worksheet 21 of 30 β€’ 20 questions β€’ ⏱️ Estimated time: 20 minutes β€’ 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Coding Inequalities
Worksheet 21 of 30 (70% complete)

Question 1

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

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

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

Question 2

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

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

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

Question 3

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

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

Therefore, I only is correct.
transitive, logic

Question 4

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

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

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 6

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

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

Therefore, I only is correct.
complex, mixed

Question 7

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

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

Therefore, II only is correct.
complex, mixed

Question 8

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

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 9

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

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 10

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

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

Conclusion I (Y > C): Follows
Conclusion II (Y ≀ C): Follows

Therefore, Both I and II is correct.
basic, symbols

Question 12

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

Conclusion I (R > U): Does not follow
Conclusion II (R = U): Follows

Therefore, II only is correct.
basic, symbols

Question 13

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

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

Therefore, I only is correct.
complex, mixed

Question 14

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

Conclusion I (T > Y): Follows
Conclusion II (T < Y): Follows

Therefore, Both I and II is correct.
basic, symbols

Question 15

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

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

Therefore, I only is correct.
chain, sequence

Question 16

Directions: Ξ” = >, βˆ‡ = <, β—Œ = =, β–‘ = >=, β—‹ = <=, β˜† = != Statement: F Ξ” Z βˆ‡ C Conclusions: I. F > C II. F ≀ C Which of the following is true?
Decoded statement: F > Z < 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 17

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

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

Therefore, II only is correct.
transitive, logic

Question 18

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

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 19

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

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

Therefore, I only is correct.
chain, sequence

Question 20

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

Conclusion I (B = G): Does not follow
Conclusion II (B < G): Does not follow

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