   Chapter 1.2, Problem 55E

Chapter
Section
Textbook Problem

In Exercises 45–62, find the values of x that satisfy the inequality (inequalities).55. (x + 3)(x – 5) ≤ 0

To determine
The value of x that satisfy the inequality (x+3)(x5)0 .

Explanation

Given:

The given inequality is (x+3)(x5)0 .

Calculation

The given inequality (x+3)(x5)0 holds when both (x+3)and(x5) have opposite sign.

The inequality x+3>0 when x>3 , x+3<0 when x<3 and x3=0 when x=3 .

The inequality x5>0 when x>5 , x5<0 when x<5 and x5=0 when x=5

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