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

asked Jun 22, 2023 96.0k views

1 vote

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

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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:

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

Bagzli answered Jun 28, 2023

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