Inequalities - Beginner-Intermediate Level: comparison puzzles BEGINNER-INTERMEDIATE

Quick intensive drill ★ session: 20 beginner-intermediate-level inequalities questions. Worksheet 7 of 30 - Focus: comparison puzzles. Practice comparison puzzles, relational logic, inequality chains with instant feedback. Great for developing students needing building on fundamentals with moderate challenges practice.

📝 Worksheet 7 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Inequalities
Worksheet 7 of 30 (23% complete)

Question 1

Statements: I. F > A < B II. A ≥ E > D Which conclusion is definitely false?
From the statements, D > A contradicts the established relationships and is definitely false.

Question 2

Statements: G ≥ E ≥ D > A Conclusion: E = A Is the conclusion true?
From G ≥ E ≥ D > A, we cannot determine the exact relationship between E and A.

Question 3

Statement: Y ≤ Z ≤ X Conclusions: I. Y < X II. Y = X Which follows?
From Y ≤ Z ≤ X, either Y < X or Y = X. Hence either I or II follows.

Question 4

Statement: X ≤ V ≤ Y Conclusions: I. X < Y II. X = Y Which follows?
From X ≤ V ≤ Y, either X < Y or X = Y. Hence either I or II follows.

Question 5

Arrange the elements A, C, B, D, E based on these clues: - A > C - D > E - B < C - B > D Which element is the largest?
From the clues: A > C > B > D > E. Therefore, A is the largest.

Question 6

Statement: Y ≥ W ≥ V Conclusions: I. Y > V II. Y = V Which follows?
From Y ≥ W ≥ V, either Y > V or Y = V. Hence either I or II follows.

Question 7

Statements: I. A ≥ E > G II. G ≥ B > F Which conclusions definitely follow?
Combining statements: A ≥ E > G ≥ B > F. Therefore, I, II, and III definitely follow(s).

Question 8

Statement: R > S ≥ P > N = M Which conclusions are definitely true?
From R > S ≥ P > N = M, we can derive: R > P, S > N. These conclusions definitely follow.

Question 9

Statements: Q > U ≥ V; S ≤ V < P; P = T; T ≥ W Which of the following is definitely true?
Analyzing the chain: Q > U ≥ V; S ≤ V < P; P = T; T ≥ W. Therefore, Q > S is definitely true.

Question 10

Directions: ® means <, € means ≤, ™ means ≥, £ means =, © means > Statement: T £ P ® R Which conclusion follows?
Decoding: T = P → = P < R. Therefore, No definite conclusion.

Question 11

Statement: W ≥ V ≥ X Conclusions: I. W > X II. W = X Which follows?
From W ≥ V ≥ X, either W > X or W = X. Hence either I or II follows.

Question 12

Statements: Q > U ≥ V; P ≤ V < R; R = S; S ≥ W Which of the following is definitely true?
Analyzing the chain: Q > U ≥ V; P ≤ V < R; R = S; S ≥ W. Therefore, V < S is definitely true.

Question 13

Statements: S > T; T > U; T > R; U = Q; R ≥ V Which of the following is definitely true?
Analyzing the chain: S > T; T > U; T > R; U = Q; R ≥ V. Therefore, S > R is definitely true.

Question 14

Statements: A > G ≥ H ≥ C Conclusion: A > C Is the conclusion true?
From A > G ≥ H ≥ C, using transitivity, A > C is definitely true.

Question 15

Statements: I. E ≥ C > F II. F ≥ B > D Which conclusions definitely follow?
Combining statements: E ≥ C > F ≥ B > D. Therefore, I, II, and III definitely follow(s).

Question 16

Statements: I. D > E < F II. E ≥ C > B Which conclusion is definitely false?
From the statements, B > E contradicts the established relationships and is definitely false.

Question 17

Statements: I. E < B > C II. B ≤ A < D Which conclusion is definitely false?
From the statements, E > D contradicts the established relationships and is definitely false.

Question 18

Arrange the elements D, B, A, E, C based on these clues: - D > B - E > C - A > E - A < B Which element is the largest?
From the clues: D > B > A > E > C. Therefore, D is the largest.

Question 19

Statement: X > V > W Conclusions: I. X > W II. X < W Which follows?
From X > V > W, X > W is definitely true. II does not follow.

Question 20

Arrange the elements E, A, B, D, C based on these clues: - E > A - B > D - B < A - D > C Which element is the largest?
From the clues: E > A > B > D > C. Therefore, E is the largest.
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