1 Answer

Lopezdp · Answer 1 · 2023-03-14T07:20:30+0000

To solve the inequality:

$\lvert5x\rvert\leq10$

we need to remeber the property:

$\lvert x\rvert\leq a\Leftrightarrow-a\leq x\leq a$

Then:

$\begin{gathered} \lvert5x\rvert\leq10\Leftrightarrow-10\leq5x\leq10 \\ -(10)/(5)\leq x\leq(10)/(5) \\ -2\leq x\leq2 \end{gathered}$

Therefore the solution of the inequality in interval form is:

$\lbrack-2,2\rbrack$

and the graph is:

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