Solve the following inequality algebraically. |x - 5| \leqslant 8

Question

Solve the following inequality algebraically.
`|x - 5| \leqslant 8`

Answer 1

The inequality to solve is:

`|x-5|\leq8`

Whenever we have absolute value inequality, we solve it in:

Now, solving it:

`\begin{gathered} -8+5\leq x-5+5\leq8+5 \\ -3\leq x\leq13 \end{gathered}`