Solve the problem.
-A landscaping company sells 60-pound bags of top soil. The actual weight x of a bag, however, may differ from the advertised weight by as much as 0.25 pound. The actual weight of the bag of topsoil, x, can be described by
The inequality |x - 60| ≤0.25. Give the solution of the inequality in interval notation.
A) [59.75, 60.25]
C) [-59.75, 60.25]
D) (59.75, 60.25)

Question

Solve the problem.
-A landscaping company sells 60-pound bags of top soil. The actual weight x of a bag, however, may differ from the advertised weight by as much as 0.25 pound. The actual weight of the bag of topsoil, x, can be described by
The inequality |x - 60| ≤0.25. Give the solution of the inequality in interval notation.
A) [59.75, 60.25] 
C) [-59.75, 60.25] 
D) (59.75, 60.25)

Quizplus · Accepted Answer

The inequality |x - 60| ≤0.25 can be rewritten as -0.25 ≤ x - 60 ≤ 0.25. Solving for x, we get 59.75 ≤ x ≤ 60.25. This is in interval notation [59.75, 60.25]. Therefore, the correct choice is A. The inequality |x - 60| ≤0.25 means that the actual weight x of the bag is within 0.25 pounds of the advertised weight, 60 pounds. In other words, x could be as low as 59.75 pounds (60 - 0.25) or as high as 60.25 pounds (60 + 0.25). The interval notation for this range is [59.75, 60.25].

Solve the Problem. -A Landscaping Company Sells 60-Pound Bags of Top Soil. the Top