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Coding Inequalities - Beginner-Intermediate Level: inequality logic BEGINNER-INTERMEDIATE

Comprehensive race against clock worksheet covering 20 beginner-intermediate-level coding inequalities problems. Worksheet 8 of 30 emphasizes inequality logic. Master coded inequalities, symbolic inequalities, code-based comparison through detailed explanations. Difficulty: building on fundamentals with moderate challenges. Tailored for developing preparation.

πŸ“ Worksheet 8 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 8 of 30 (26% complete)

Question 1

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

Conclusion I (U β‰₯ Y): Follows
Conclusion II (U ≀ Y): Does not follow

Therefore, I only is correct.
chain, sequence

Question 2

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

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

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

Question 3

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

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

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

Question 4

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

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 ← B ← Q ← V ← W Conclusions: I. P < Q II. Q > W Which of the following is true?
Decoded statement: P < B < Q < V < W

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

Therefore, II only is correct.
transitive, logic

Question 6

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

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

Therefore, I only is correct.
chain, sequence

Question 7

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

Conclusion I (Z = S): Does not follow
Conclusion II (Z β‰  S): Follows

Therefore, II only is correct.
chain, sequence

Question 8

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

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

Therefore, II only is correct.
transitive, logic

Question 9

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

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

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

Question 10

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

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

Therefore, II only is correct.
transitive, logic

Question 11

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

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

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

Question 12

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

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

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

Question 13

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

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

Therefore, II only is correct.
chain, sequence

Question 14

Directions: β†’ = >, ← = <, ↔ = =, β‡’ = >=, ⇐ = <=, ⇔ = != Statement: Q ← W ← Y β†’ Z ↔ S Conclusions: I. Q > Y II. Y < S Which of the following is true?
Decoded statement: Q < W < Y > Z = 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 15

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

Conclusion I (P > T): Does not follow
Conclusion II (P < T): Does not follow

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

Question 16

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

Conclusion I (B = Q): Does not follow
Conclusion II (B β‰  Q): Follows

Therefore, II only is correct.
chain, sequence

Question 17

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

Conclusion I (W ≀ Z): Follows
Conclusion II (W > Z): Does not follow

Therefore, I only is correct.
basic, symbols

Question 18

Directions: Ξ” = >, βˆ‡ = <, β—Œ = =, β–‘ = >=, β—‹ = <=, β˜† = != Statement: V Ξ” F βˆ‡ B Conclusions: I. V < B II. V β‰₯ B Which of the following is true?
Decoded statement: V > F < 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 19

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

Conclusion I (Z > D): Follows
Conclusion II (Z = D): Follows

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

Question 20

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

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

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