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Edition: 8th Edition

Resource Type: Test bank

Chapter P  Preliminaries

P.1  Real Numbers and the Real Line

1) Express the given rational number as a repeating decimal. Use a bar to indicate the repeating digits.

1. A) 0.582
2. B) 0.
3. C) 0.
4. D) 0.58
5. E) 0.584

Diff: 1

2) Express the given repeating decimal as a rational number.

3.01

A)

B)

C)

1. D) 3
2. E) 3

Diff: 1

3) Express the set of all real numbers x satisfying  x < 0  as an interval or a union of intervals.

1. A) (-∞, 0]
2. B) [-∞, 0)
3. C) [-∞, 0]
4. D) (-∞, 0)
5. E) (-∞, ∞)

Diff: 1

4) Express the set of all real numbers  x  satisfying  x ≤ -1  and x > -3  as an interval or a union of intervals.

1. A) (3, -1]
2. B) (-3, -1)
3. C) (-3, -1]
4. D) [3, -1]
5. E) [-1, 3)

Diff: 1

5) Express the set of all real numbers  x  satisfying  x < 5  or  x > 6  as an interval or a union of intervals.

1. A) (-∞, 5) ∪ (6, ∞)
2. B) (6, 5)
3. C) (5, 6)
4. D) (-∞, 5) ∩ (6, ∞)
5. E) [5, 6]

Diff: 1

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