Respuesta :

Given:

The inequality is

[tex]-2x\geq 16[/tex]

To find:

The correct symbol for the inequality x __ -8.

Solution:

We have,

[tex]-2x\geq 16[/tex]

When we divide or multiply an inequality by a negative number, then we need to change the sign of inequality.

Divide the given inequality by -2.

[tex]\dfrac{-2x}{-2}\leq \dfrac{16}{-2}[/tex]

[tex]x\leq -8[/tex]

The correct symbol for the blank is ≤.

Therefore, the correct option is J.