To solve the inequality:
[tex]\lvert5x\rvert\leq10[/tex]
we need to remeber the property:
[tex]\lvert x\rvert\leq a\Leftrightarrow-a\leq x\leq a[/tex]
Then:
[tex]\begin{gathered} \lvert5x\rvert\leq10\Leftrightarrow-10\leq5x\leq10 \\ -\frac{10}{5}\leq x\leq\frac{10}{5} \\ -2\leq x\leq2 \end{gathered}[/tex]
Therefore the solution of the inequality in interval form is:
[tex]\lbrack-2,2\rbrack[/tex]
and the graph is:
