   Chapter 1.2, Problem 59E

Chapter
Section
Textbook Problem

In Exercises 45–62, find the values of x that satisfy the inequality (inequalities).59. x + 3 x − 2 ≥ 0

To determine
The value of x from the inequality x+3x20 .

Explanation

Given:

The given inequality is x+3x20 .

Calculation

The given inequality x+3x20 holds when both (x+3)and(x2) have same sign.

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

The inequality x2>0 when x>2 , x2<0 when x<2 and x2=0 when x=2

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