Solve the Problem $x$ Of a Bag, However, May Differ from the Advertised Weight

Multiple Choice

Solve the problem.
-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) $| 40 - \mathrm { x } | \leq 0.75 ; [ 39.25,40.75 ]$
B) $| 40 + x | \leq 0.75 ; [ 39.25,40.75 ]$
C) $| x + 0.75 | \leq 40 ; [ 39.25 , \infty )$
D) $| x | - 40 \leq 0.75 ; ( - \infty , 40.75 ]$