Final answer:
The solution to the inequality −8x ≤ 38 is x ≥ −4.75, making option B correct.
Step-by-step explanation:
The inequality given is −8x ≤ 38. To find the solution for x, we divide both sides of the inequality by −8, which changes the direction of the inequality sign, giving us x ≥ −4.75.
Therefore, the inequality representing the solution set is B. x ≥ −4.75. It is important to remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality symbol.