Chapter 3.5, Problem 3AYU

(a) $f\left(x\right)>0$

(b) $f\left(x\right)\le 0$

To determine

To find: The solutions of the inequalities:

a. $f\left(x\right)>0$

b. $f\left(x\right)\le 0$

Answer to Problem 3AYU

Solution:

a. $x>2;x<-2$

b. $-2\le x\le 2$

Explanation of Solution

Given:

The graph is:

Calculation:

a. $f\left(x\right)>0$

From the above graph it is clear that, the solution of the inequality $f\left(x\right)>0$ will be:

$x>2$ and $x<-2$.

b. $f\left(x\right)\le 0$

From the graph it is clear that the solution of the inequality $f\left(x\right)\le 0$ will be: $-2\le x\le 2$.