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

1 Answer

6 votes

The inequality to solve is:


|x-5|\leq8

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


\begin{gathered} |x|Thus, we can write the problem as:[tex]-8\leq x-5\leq8

Now, solving it:


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

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