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

question 106

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 $x$ 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) \(| 40 + \mathrm { x } | \leq 0.75 ; [ 39.25,40.75 ]\)
• C) \(| x + 0.75 | \leq 40 ; [ 39.25 , \infty )\)
• D) \(| x | - 40 \leq 0.75 ; ( - \infty , 40.75 ]\)

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