Chapter 3.5, Problem 4AYU

(a) $g\left(x\right)\text{ < }0$

(b) $g\left(x\right)\ge 0$

To determine

To find: The solutions of the inequalities:

a. $g\left(x\right)<0$

b. $g\left(x\right)\ge 0$

Answer to Problem 4AYU

Solution:

a. $x>4;x<-1$

b. $-1\le x\le 4$

Explanation of Solution

Given:

The graph is:

Calculation:

a. $g\left(x\right)<0$

From the above graph it is clear that, the solution of the inequality $g\left(x\right)<0$ will be: $x>4$ and $x<-1$.

b. $g\left(x\right)\ge 0$

From the graph it is clear that the solution of the inequality $g\left(x\right)\ge 0$ will be: $-1\le x\le 4$.