sodni3

2021-02-25

Solve absolute value inequality.

$|2(x-1)+4|\le 8$

Leonard Stokes

Skilled2021-02-26Added 98 answers

Step 1

We have to solve the absolute value inequality:

We know for any modulus function,

We also know that if

Applying above condition for given inequality,

Step 2

Simplifying further,

In interval notation we can write it as

Hence, solution of the absolute value inequality is