Chapter 2, Problem 17CT

To determine

To find: numbers those are not solutions of the graph.

Answer to Problem 17CT

x < -4 or x > -1

Explanation of Solution

In solving absolute value inequalities, remember that | ax +b | < c provided that c > 0 will either be:

ax + b > -c and ax+ b < c

Also, | ax + b | > c provided that c > 0, will either be :

ax + b < -c or ax + b > c

Hence the numbers that are not solutions of this graph should be an open dot at -4 with unshaded line going to the left of -4 and an open dot at -1 with unshaded line to the right of -1.. Therefore using x as a variable to represent the numbers that are not solution of the inequality , we can say x is less than -4 or x is greater than 2 .

That is x < -4 or x > -1

The graph will look like: