Question

solve the following inequality and graph the solution
-6(x - 4) - 3x ≤ - (4x + 8) + 3x

select the correct choice and fill in the answer box to complete your choice.
a. x <

b. x ≤

c. x ≥

d. x ≥ 3

Explanation:

Step1: Expand both sides

$-6x + 24 - 3x \leq -4x - 8 + 3x$

Step2: Combine like terms

$-9x + 24 \leq -x - 8$

Step3: Add $9x$ to both sides

$24 \leq 8x - 8$

Step4: Add 8 to both sides

$32 \leq 8x$

Step5: Divide by 8

$4 \leq x$ or $x \geq 4$

Answer:

D. $x \geq 4$