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Coding Inequalities - Advanced Level: mixed inequalities ADVANCED

Master coding inequalities concepts through this hard problem set practice set. Worksheet 26 of 30 contains 20 advanced-level problems. Deep dive into mixed inequalities while learning coded relationships, symbol inequality, code decoding. Recommended for advanced learners aiming for complex scenarios and multi-step problems.

πŸ“ Worksheet 26 of 30 β€’ 20 questions β€’ ⏱️ Estimated time: 20 minutes β€’ 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Coding Inequalities
Worksheet 26 of 30 (86% complete)

Question 1

Directions: Ξ” = >, βˆ‡ = <, β—Œ = =, β–‘ = >=, β—‹ = <=, β˜† = != Statement: V Ξ” E βˆ‡ C Conclusions: I. V < C II. V β‰₯ C Which of the following is true?
Decoded statement: V > E < 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 2

Directions: * = >, + = <, = = =, - = >=, / = <=, ! = != Statement: T + Q Q - X X - B Conclusions: I. T β‰₯ B II. T ≀ B Which of the following is true?
Decoded statement: T < Q Q >= X X >= B

Conclusion I (T β‰₯ B): Does not follow
Conclusion II (T ≀ B): Does not follow

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

Question 3

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

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

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

Question 4

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

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

Conclusion I (W ≀ Q): Does not follow
Conclusion II (W = Q): Does not follow

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

Question 6

Directions: @ = >, # = <, $ = =, % = >=, ^ = <=, & = != Statements: E @ B, W @ V, P @ U Conclusions: I. E > W II. B < V Which of the following is true?
Decoded statements: E > B, W > V, P > U

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

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

Question 7

Directions: Ξ” = >, βˆ‡ = <, β—Œ = =, β–‘ = >=, β—‹ = <=, β˜† = != Statement: F Ξ” R βˆ‡ A Conclusions: I. F = A II. F β‰  A Which of the following is true?
Decoded statement: F > R < 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 8

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

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

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

Question 9

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

Conclusion I (B > Z): Does not follow
Conclusion II (B < Z): Does not follow

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

Question 10

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

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

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

Question 11

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

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

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

Question 12

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

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

Therefore, II only is correct.
chain, sequence

Question 13

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

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

Therefore, I only is correct.
complex, mixed

Question 14

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

Since the statements involve different variables with no connecting links, no definite relationship can be established between F and Y or between S and Q.

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

Question 15

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

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

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

Question 16

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

Conclusion I (T = E): Does not follow
Conclusion II (T < E): Follows

Therefore, II only is correct.
basic, symbols

Question 17

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

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

Therefore, I only is correct.
complex, mixed

Question 18

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

Pattern: A > B > C < D
No direct relation between A-D or B-C

Therefore, Neither I nor II is correct.
complex, mixed

Question 19

Directions: Ξ” = >, βˆ‡ = <, β—Œ = =, β–‘ = >=, β—‹ = <=, β˜† = != Statement: Q Ξ” S βˆ‡ A Conclusions: I. Q ≀ A II. Q > A Which of the following is true?
Decoded statement: Q > S < 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 20

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

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

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