Question

Which values of x make the inequality 5 - 3x + 3 ≤ 13 true?

A. x ≥ -7
B. x ≥ -53
C. x ≥ -113
D. x ≥ -5

Answer 1

5 - 3x + 3 ≤ 13

-3x + 8 ≤ 13

-3x ≤ 5

x ≥ -5/3

None of the choices are correct.

Answer 2

D. x ≥ -5

To solve the inequality 5 - 3x + 3 ≤ 13, first simplify the inequality to get -3x + 8 ≤ 13, subtract 8 from both sides to get -3x ≤ 5, and divide both sides by -3 to get x ≥ -5.

Step-by-step explanation:

To solve the inequality 5 - 3x + 3 ≤ 13, we can first simplify the inequality to get -3x + 8 ≤ 13. Then, we can subtract 8 from both sides to get -3x ≤ 5. Finally, we divide both sides by -3, but remember that when dividing by a negative number, the inequality sign will flip, so we have to flip the sign from ≤ to ≥. Therefore, the correct answer is D. x ≥ -5.