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Inequalities - Intermediate Level: complex chains INTERMEDIATE

Level up your inequalities skills with this comprehensive review. 20 intermediate-level problems await in Worksheet 14 of 30. Focus area: complex chains. Learn comparison puzzles, relational logic, inequality chains through systematic practice. Designed for mid-level learners seeking moderate complexity with mixed patterns.

📝 Worksheet 14 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Inequalities
Worksheet 14 of 30 (46% complete)

Question 1

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

Question 2

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

Question 3

Statement: Y ≤ W ≤ Z Conclusions: I. Y < Z II. Y = Z Which follows?
From Y ≤ W ≤ Z, either Y < Z or Y = Z. Hence either I or II follows.
either-or, logical, possibility

Question 4

Statement: X ≤ W ≤ Y Conclusions: I. X < Y II. X = Y Which follows?
From X ≤ W ≤ Y, either X < Y or X = Y. Hence either I or II follows.
either-or, logical, possibility

Question 5

Statements: E ≥ F > H ≥ D Conclusion: F = D Is the conclusion true?
From E ≥ F > H ≥ D, we cannot determine the exact relationship between F and D.
basic, comparison, transitive

Question 6

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

Question 7

Statement: Q ≥ P > O = R ≥ S Which conclusions are definitely true?
From Q ≥ P > O = R ≥ S, we can derive: Q > O. These conclusions definitely follow.
multiple, evaluation, analysis

Question 8

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

Question 9

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

Question 10

Statements: S > W; W > P; W > V; P = Q; V ≥ T Which of the following is definitely true?
Analyzing the chain: S > W; W > P; W > V; P = Q; V ≥ T. Therefore, S > V is definitely true.
complex, chain, multi-step

Question 11

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

Question 12

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

Question 13

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

Question 14

Statements: A > B > H > E Conclusion: A > E Is the conclusion true?
From A > B > H > E, using transitivity, A > E is definitely true.
basic, comparison, transitive

Question 15

Statements: C ≥ G > D ≥ H Conclusion: H > C Is the conclusion true?
From C ≥ G > D ≥ H, H > C contradicts the given inequalities, so it's false.
basic, comparison, transitive

Question 16

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

Question 17

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

Question 18

Statement: Y > V > Z Conclusions: I. Y > Z II. Y < Z Which follows?
From Y > V > Z, Y > Z is definitely true. II does not follow.
either-or, logical, possibility

Question 19

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

Question 20

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