Solve the Absolute Value Inequality $| 4 w - 7 | \geq 5$

question 78

Multiple Choice

Solve the absolute value inequality. Write the solution in interval notation. $| 4 w - 7 | \geq 5$

• A) \(( - \infty , 3 ] \cup \left[ - \frac { 1 } { 2 } , \infty \right)\)
• B) \(\left[ - 3 , - \frac { 1 } { 2 } \right]\)
• C) \(\left[ - \infty , \frac { 1 } { 2 } \right] \cup [ 3 , \infty )\)
• D) \(\left[ \frac { 1 } { 2 } , 3 \right]\)

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Definitions:

Markup Percentage

The percentage added to the cost of goods to determine the selling price, reflecting the profit margin on sales.

Variable Costs

Costs that change in proportion to the level of goods or services produced by a business.

Rate of Return

A measure of the profitability or efficiency of an investment, expressed as a percentage of the original investment.

Variable Cost Concept

A principle in economics that refers to costs that vary directly with the level of production or service activity.