A landscaping company sells 40-pound bags of top soil. The actual weight x of a bag, however, may differ from the advertised weight by as much as 0.75 pound. Write an inequality involving absolute value that expresses the relationship between the actual weight x of a bag and 40 pounds. Solve the inequality, and express the answer in interval form.




a. |x + 0.75| ≤ 40; [39.25, ∞)

b. |x|- 40 ≤ 0.75 ; (-∞, 40.75]

c. |40 + x| ≤ 0.75; [39.25, 40.75]

d. |40 - x|≤ 0.75; [39.25, 40.75]