Verified Answer :

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

\(4x-12\leq 16+8x\)

The options of the question are

\(-10\ -9\ -8\ -7\)

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

\(-12-16\leq 8x-4x\)

\(-28\leq 4x\)

rewrite the inequality

\(4x\geq -28\)

Divide by \(4\) both sides

\(x\geq -7\)

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

All real numbers greater than or equal to \(-7\)

therefore

the answer is

\(-7\)