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Inequalities - Beginner Level: mathematical inequalities BEGINNER

Exam-focused quick revision round worksheet: 20 beginner-level inequalities questions. Worksheet 3 of 30 targets mathematical inequalities. Build proficiency in mathematical inequalities, symbolic inequalities, chain inequalities with detailed solutions. Ideal for entry-level competitive exam preparation.

📝 Worksheet 3 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Inequalities
Worksheet 3 of 30 (10% complete)

Question 1

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

Question 2

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

Question 3

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

Question 4

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

Question 5

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

Question 6

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

Question 7

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

Question 8

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

Question 9

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

Question 10

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

Question 11

Statements: I. C = A < E II. E ≤ B = D Which conclusions definitely follow?
Combining statements: C = A < E ≤ B = D. Therefore, Only I definitely follow(s).
compound, multiple, chain

Question 12

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

Question 13

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

Question 14

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

Question 15

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

Question 16

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

Question 17

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

Question 18

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

Question 19

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

Question 20

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