Answer:
[tex]x \ge -7[/tex]
Step-by-step explanation:
We can solve this inequality using algebraic manipulation.
I will isolate x on the right side of the equation.
[tex]4x - 12 \le 16 + 8x[/tex]
↓ subtract 16 from both sides
[tex]4x - 12 - 16 \le 8x[/tex]
↓ simplify by subtracting constants
[tex]4x - 28 \le 8x[/tex]
↓ move all x's to the right side by subtracting [tex]4x[/tex] from both sides
[tex]-28 \le 8x - 4x[/tex]
↓ simplify the x's by subtraction
[tex]-28 \le 4x[/tex]
↓ divide both sides by 4 to isolate 1 multiple of x
[tex]-7 \le x[/tex]
↓ (optional) flip the equation so x is on the left
[tex]x \ge -7[/tex]
x is greater than or equal to negative 7.