Respuesta :

There is an operator missing.

I will assume that the right inequality is 4x - 12 ≤ 16 + 8x

4x - 8x ≤ 16 +12

- 4x ≤ 28

x ≥ - 28/4

x ≥ - 7

we have

[tex]4x-12\leq 16+8x[/tex]

The options of the question are

[tex]-10\ -9\ -8\ -7[/tex]

Group terms that contain the same variable, and move the constants to the opposite side of the inequality

[tex]-12-16\leq 8x-4x[/tex]

[tex]-28\leq 4x[/tex]

rewrite the inequality

[tex]4x\geq -28[/tex]

Divide by [tex]4[/tex] both sides

[tex]x\geq -7[/tex]

The solution is the interval-------> [-7,∞)

All real numbers greater than or equal to [tex]-7[/tex]

therefore

the answer is

[tex]-7[/tex]

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