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Coding Inequalities - Expert Level: inequality chains EXPERT

Intensive progress check 🎯 drill: 20 expert-level coding inequalities questions. Worksheet 30 of 30 hones your inequality chains abilities. Practice symbolic inequalities, code-based comparison, inequality codes under timed conditions. Best for expert-level students seeking challenging problems and time-bound practice.

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

What you'll learn in this worksheet:
Your progress through Coding Inequalities
Worksheet 30 of 30 (100% complete)

Question 1

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

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

Therefore, I only is correct.
transitive, logic

Question 2

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

Conclusion I (V < U): Follows
Conclusion II (V β‰₯ U): Does not follow

Therefore, I only is correct.
basic, symbols

Question 3

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

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 4

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

Pattern: A ≀ B β‰₯ C = D
A and D relationship depends on actual values

Therefore, Cannot be determined is correct.
complex, mixed

Question 5

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

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

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

Question 6

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

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 7

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

Conclusion I (A β‰₯ H): Does not follow
Conclusion II (A ≀ H): Does not follow

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

Question 8

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

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

Pattern: A ≀ B β‰₯ C = D
A and D relationship depends on actual values

Therefore, Cannot be determined is correct.
complex, mixed

Question 10

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

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

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

Question 11

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

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

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

Question 12

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

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

Therefore, I only is correct.
complex, mixed

Question 13

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

Conclusion I (U < S): Follows
Conclusion II (U ≀ S): Follows

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

Question 14

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

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

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

Question 15

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

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

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

Question 16

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

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

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

Question 17

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

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

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

Question 18

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

Pattern: A β‰₯ B ≀ C = D
A and D relationship depends on actual values

Therefore, Cannot be determined is correct.
complex, mixed

Question 19

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

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 20

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

Conclusion I (W < R): Does not follow
Conclusion II (W = R): Does not follow

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