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Solve the Problem x400.75;(,40.75]| x | - 40 \leq 0.75 ; ( \infty , 40.75 ]

Question 167

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) x400.75;(,40.75]| x | - 40 \leq 0.75 ; ( \infty , 40.75 ]
B) 40+x0.75;[39.25,40.75]| 40 + x | \leq 0.75 ; [ 39.25,40.75 ]
C) 40x0.75;[39.25,40.75]| 40 - x | \leq 0.75 ; [ 39.25,40.75 ]
D) x+0.7540;[39.25,) | x + 0.75 | \leq 40 ; [ 39.25 , \infty )

Correct Answer:

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