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

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

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Definitions:

Returns To Scale

Describes how the output of a production process changes as all inputs are scaled up or down by the same proportion.

Input

Resources used in the production process to generate output, including labor, capital, materials, and energy.

Production Function

The representation of the output that a firm can produce with varying combinations of inputs, emphasizing the efficiency and technology used.

Isoquant

A curve that represents all the combinations of inputs that produce the same level of output in production theory.