Solve the Polynomial Inequality and Graph the Solution Set on a Number

question 243

Multiple Choice

Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval
notation.
- $$x ^ { 2 } - 2 x \geq 8$$

• A) \(( - \infty , - 2 ] \cup [ 4 , \infty )\)
• B) \([ - 2,4 ]\)
• C) \(( - \infty , - 2 ]\)
• D) \([ 4 , \infty )\)

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Definitions:

Margin of Safety

This is a financial metric that measures the difference between actual sales and the break-even point, indicating how much sales can decline before a business incurs a loss.

Percentage of Sales

A financial ratio that compares a particular figure or amount to the total sales of a company.

Dollars

The official currency of the United States, also used as a standard monetary unit in many other countries and economic contexts.

Break-Even

The point at which total costs equal total revenue, indicating that a business is neither making a profit nor a loss.