    ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Solve each inequality. Write your answer using interval notation. (a) −4 < 5 − 3x ≤ 17 (b) x2 < 2x + 8 (c) x(x − 1)(x + 2) > 0 (d) |x − 4| < 3 (e) 2 x − 3 x + 1 ≤ 1

(a)

To determine

To solve: The inequality 4<53x17.

Explanation

Consider the inequality 4<53x17.

Simplify the above expression as follows,

4<53x1745<3x1759<3x129>3x12(mult

(b)

To determine

To solve: The inequality x2<2x+8.

(c)

To determine

To solve: The inequality x(x1)(x+2)>0.

(d)

To determine

To solve: The inequality |x4|<3.

(e)

To determine

To solve: The inequality 2x3x+11.

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