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Solve the Absolute Value Inequality xx Of a Bag, However, May Differ from the Advertised Weight

Question 422

Multiple Choice

Solve the absolute value inequality. Other than ∅, use interval notation to express the solution set and graph the
solution set on a number line.
-A landscaping company sells 40 -pound bags of top soil. The actual weight xx of a bag, however, may differ from the advertised weight by as much as 0.750.75 pound. Write an inequality involving absolute value that expresses the relationship between the actual weight xx of a bag and 40 pounds. Solve the inequality, and express the answer in interval form.


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

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