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Nova Math - Problem Set L: Inequalities
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No.1: If 1 < x < y, which of the following must be true? ...
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No.2: If −3 < x < −1 and 3 < y < 7, which of the following best describes ? ...
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No.3: If x is an integer and y = −2x − 8, what is the least value of x for which y is less tha...
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No.4: Which one of the following could be the graph of 3 − 6x ≤ ? ...
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No.5: If line segment AD has midpoint M1 and line segment M1D has midpoint M2, what is the value of ? &...
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No.6: If x < y < −1, which of the following must be true? ...
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No.7: Which of the following represents all solutions of the inequality x2 < 2x? ...
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No.8: Given the positions of numbers x and y on the number line above, which of the following must be true...
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No.9: If x4y < 0 and xy4 > 0, which of the following must be true? ...
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No.10: If n is an integer, what is the least value of n such that ? ...
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No.11: If the average of 10, 14, and n is greater than or equal to 8 and less than or equal to 12, what is ...
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No.12: If , which of the following must be true? ...
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No.13: Of the following symbols, which one can be substituted for the question mark in the expression to ma...
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No.14: Let x, y, z be three different positive integers each less than 20. What is the smallest possible va...
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No.15: If x > 0 and , then x = ...
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No.16: Four letters—a, b, c, and d—represent one number each from one through four. No two lett...
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No.17: If r > t and r < 1 and rt = 1, then which one of the following must be true? ...
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No.18: If x > y > 0 and p > q > 0, then which one of the following expressions must be greater than 1? ...
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No.19: If 2x + y > m and 2y + x < n, then x − y must be greater than ...
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No.20: If p > 2, then which one of the following inequalities must be false? ...
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Total Questions: 20
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