Chapter 3.5, Problem 6AYU

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

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

To determine

To find: The solutions of the inequalities:

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

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

Answer to Problem 6AYU

Solution:

a. $x>1$ and $x<-3$

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

Explanation of Solution

Given:

The graph is:

Calculation:

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

From the above graph it is clear that, the solution of the inequality $f\left(x\right)<g\left(x\right)$ will be: $x>1$ and $x<-3$.

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

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