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Coding Inequalities - Beginner-Intermediate Level: mixed inequalities BEGINNER-INTERMEDIATE

This deep dive β˜… worksheet contains 20 beginner-intermediate-level coding inequalities problems. Worksheet 11 of 30 focuses on mixed inequalities. Practice inequality codes, coded relationships, symbol inequality with our step-by-step solutions. Difficulty: building on fundamentals with moderate challenges. Recommended for developing learners.

πŸ“ Worksheet 11 of 30 β€’ 20 questions β€’ ⏱️ Estimated time: 20 minutes β€’ 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Coding Inequalities
Worksheet 11 of 30 (36% complete)

Question 1

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

Conclusion I (Z ≀ P): Does not follow
Conclusion II (Z < P): Does not follow

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

Question 2

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

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

Therefore, II only is correct.
chain, sequence

Question 3

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

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

Therefore, II only is correct.
transitive, logic

Question 4

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

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

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

Question 5

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

Chain: A > B = C < D > E
H > G follows (A > B = C), G < Y does not follow

Therefore, I only is correct.
transitive, logic

Question 6

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

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

Therefore, I only is correct.
complex, mixed

Question 7

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

Question 8

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

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

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

Question 9

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

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

Therefore, I only is correct.
complex, mixed

Question 10

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

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 11

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

Conclusion I (Y = A): Follows
Conclusion II (Y < A): Does not follow

Therefore, I only is correct.
basic, symbols

Question 12

Directions: Ξ” = >, βˆ‡ = <, β—Œ = =, β–‘ = >=, β—‹ = <=, β˜† = != Statement: F Ξ” A βˆ‡ B Conclusions: I. F ≀ B II. F > B Which of the following is true?
Decoded statement: F > 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 13

Directions: Ξ” = >, βˆ‡ = <, β—Œ = =, β–‘ = >=, β—‹ = <=, β˜† = != Statement: F Ξ” X βˆ‡ Z Conclusions: I. F ≀ Z II. F > Z Which of the following is true?
Decoded statement: F > X < 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 14

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

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

Therefore, II only is correct.
chain, sequence

Question 15

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

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

Therefore, II only is correct.
complex, mixed

Question 16

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

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 17

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

Question 18

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

Since the statements involve different variables with no connecting links, no definite relationship can be established between T and P or between W and U.

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

Question 19

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

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

Therefore, II only is correct.
basic, symbols

Question 20

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

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

Therefore, II only is correct.
basic, symbols
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