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Inequalities - Advanced Level: mathematical comparison ADVANCED

Boost your speed and accuracy with this high difficulty set 📈 worksheet. Worksheet 25 of 30 presents 20 advanced-level inequalities problems. Focus on mathematical comparison while practicing symbolic inequalities, chain inequalities, inequality solving. Difficulty: complex scenarios and multi-step problems. Perfect for advanced test takers.

📝 Worksheet 25 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Inequalities
Worksheet 25 of 30 (83% complete)

Question 1

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

Question 2

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 3

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

Question 4

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

Question 5

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

Question 6

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

Question 7

Directions: $ means ≥, & means =, @ means >, % means ≤, # means < Statement: S % Q @ P $ T Which conclusion follows?
Decoding: S ≤ Q → ≤ Q > P → > P ≥ T. Therefore, No definite conclusion.
coded, symbols, decoding

Question 8

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

Question 9

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

Question 10

Statements: A ≥ F = E > C Conclusion: A > C Is the conclusion true?
From A ≥ F = E > C, using transitivity, A > C is definitely true.
basic, comparison, transitive

Question 11

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

Question 12

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

Question 13

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

Question 14

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

Question 15

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

Question 16

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

Question 17

Directions: & means =, # means <, @ means >, % means ≤, $ means ≥ Statement: U @ Q & R Which conclusion follows?
Decoding: U > Q → > Q = R. Therefore, No definite conclusion.
coded, symbols, decoding

Question 18

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

Question 19

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

Question 20

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