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Inequalities - Intermediate Level: comparative reasoning INTERMEDIATE

Quick mental agility ★ session: 20 intermediate-level inequalities questions. Worksheet 17 of 30 - Focus: comparative reasoning. Practice mathematical inequalities, symbolic inequalities, chain inequalities with instant feedback. Great for mid-level students needing moderate complexity with mixed patterns practice.

📝 Worksheet 17 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Inequalities
Worksheet 17 of 30 (56% complete)

Question 1

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

Question 2

Directions: ~ means =, ? means <, ! means >, * means ≥, ^ means ≤ Statement: P ~ Q * R ? U Which conclusion follows?
Decoding: P = Q → = Q ≥ R → ≥ R < U. Therefore, No definite conclusion.
coded, symbols, decoding

Question 3

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

Question 4

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

Question 5

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

Question 6

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

Question 7

Directions: ^ means ≤, ? means <, ~ means =, * means ≥, ! means > Statement: P ~ U ^ Q ? R Which conclusion follows?
Decoding: P = U → = U ≤ Q → ≤ Q < R. Therefore, No definite conclusion.
coded, symbols, decoding

Question 8

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

Question 9

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

Question 10

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

Question 11

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

Question 12

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

Question 13

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.
puzzle, arrangement, ordering

Question 14

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

Question 15

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.
either-or, logical, possibility

Question 16

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

Question 17

Statements: C > F > D > H Conclusion: C > H Is the conclusion true?
From C > F > D > H, using transitivity, C > H is definitely true.
basic, comparison, transitive

Question 18

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

Question 19

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

Question 20

Statement: V ≥ W ≥ Z Conclusions: I. V > Z II. V = Z Which follows?
From V ≥ W ≥ Z, either V > Z or V = Z. Hence either I or II follows.
either-or, logical, possibility
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