Final answer:
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.