Find the solution set for the inequality. --24x + 24 ≤-6(3x - 8) A){x|x ≥-4} B){x|x -4} C){x|x ≤-4} D){x|x

Question

Find the solution set for the inequality.
--24x + 24 ≤-6(3x - 8)
A){x|x ≥-4}
B){x|x > -4}
C){x|x ≤-4}
D){x|x < -4}

Quizplus · Accepted Answer

-24x + 24 ≤-6(3x - 8)

-24x + 24 ≤ -18x + 48

Add 18x to both sides:

-6x + 24 ≤ 48

Subtract 24 from both sides:

-6x ≤ 24

Divide both sides by -6 (remember to flip the inequality symbol because we are dividing by a negative number):

x ≥ -4

Therefore, the solution set is {x|x ≥ -4}.

Find the Solution Set for the Inequality