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Inequalities - Beginner Level: chain inequalities BEGINNER

Boost your speed and accuracy with this beginner friendly 📈 worksheet. Worksheet 5 of 30 presents 20 beginner-level inequalities problems. Focus on chain inequalities while practicing chain inequalities, inequality solving, comparison puzzles. Difficulty: foundational concepts and basic patterns. Perfect for entry-level test takers.

📝 Worksheet 5 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Inequalities
Worksheet 5 of 30 (16% complete)

Question 1

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

Question 2

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

Question 3

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

Question 4

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

Question 5

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

Question 6

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

Question 7

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

Question 8

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

Question 9

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

Question 10

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

Question 11

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

Question 12

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

Question 13

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

Question 14

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

Question 15

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

Question 16

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

Question 17

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

Question 18

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

Question 19

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

Question 20

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