Question

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Answer 1

1. Draw the solution set of the compound inequality on a line graph
x - 2 ≤ 0 or x - 1 ≥ 3
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2. Which is the solution set of the compound inequality?
x + 1 > 0 and x + 3 < 8

A. x e (-∞, 0) U (8, ∞)
B. x e (0, 8)
C. x e (-1, 5)
D. x e (-∞, -1) U (5, ∞)

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3. Which conjunction or disjunction is equivalent to the given absolute value inequality?
|x + 2| > 16

A. x + 2 > 16 or x + 2 < - 16
B. x + 2 > 16 and x + 2 < - 16
C. x + 2 < 16 or x + 2 > - 16
D. x + 2 < 16 and x + 2 > - 16

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4. Which is the solution set of the inequality |x| < 11?

A. x < - 11 or x > 11
B. x > - 11 or x < 11
C. x < - 11 and x < 11
D. x > -11 and x < 11

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5. Which is the solution set of the inequality?
|2x + 3| < 9

A. x e (9, ∞)
B. x e (-12, 6)
C. x e (-6, 3)
D. x e (-∞, 9)

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6. Solve the linear system: y = - (1/3) x + 4 and y = (1/2) x - 1