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
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]