What value of x is in the solution set of the inequality 4x – 12 ≤ 16 + 8x?

Question

asked Jul 21, 2024 54.2k views

1 Answer

Longmang · Answer 1 · 2024-07-26T04:01:25+0000

Answer:

$x \ge -7$

Explanation:

We can solve this inequality using algebraic manipulation.

I will isolate x on the right side of the equation.

$4x - 12 \le 16 + 8x$

↓ subtract 16 from both sides

$4x - 12 - 16 \le 8x$

↓ simplify by subtracting constants

$4x - 28 \le 8x$

↓ move all x's to the right side by subtracting
from both sides

$-28 \le 8x - 4x$

↓ simplify the x's by subtraction

$-28 \le 4x$

↓ divide both sides by 4 to isolate 1 multiple of x

$-7 \le x$

↓ (optional) flip the equation so x is on the left

$x \ge -7$

x is greater than or equal to negative 7.