Question

Solve the inequality 4|x - 1|< 24

Answer 1

You want to solve the inequality:

`4|x-1|<24`

We can first of all divide both sides by 4, so that the inequality becomes

`|x-1|<6`

Because of the absolute value, the inequality can be written as:

[tex]-6The inequality now has three sides.

Adding 1 to all three parts, we have

[tex]\begin{gathered} -6+1Therefore, the solution to the given inequality is in the interval (-5, 7)