Question

-10 Ixlza--aLeba -81P+448 - 125p by 모유에 4) 5x1 s 10 8 10 12 L-6 cmLIO -5 0 1 3 - BALO 0.5xzio oe 6) m - 2 > 0

Answer 1

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: