Solve the Quadratic Inequality $$x ^ { 2 } - 10 x + 20 \geq 0$$

question 357

Multiple Choice

Solve the quadratic inequality. Write the solution set in interval notation.
- $$x ^ { 2 } - 10 x + 20 \geq 0$$

• A) \(( - \infty , 5 - \sqrt { 5 } ) \cup ( 5 + \sqrt { 5 } , \infty )\)
• B) \(( - \infty , - \sqrt { 5 } ] \cup [ \sqrt { 5 } , \infty )\)
• C) \([ 5 - \sqrt { 5 } , 5 + \sqrt { 5 } ]\)
• D) \(( - \infty , 5 - \sqrt { 5 } ] \cup [ 5 + \sqrt { 5 } , \infty )\)

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Definitions:

Returns to Scale

Describes how output changes in response to a proportional increase in all inputs in the production process; can be classified as increasing, constant, or decreasing.

Consumer Surplus

The gap between the aggregate amount consumers are willing to pay for a good or service and the sum they actually pay.

Producer Surplus

The difference between the amount producers are willing to accept for a good or service relative to its market price, essentially the profit producers make.

Price Discrimination

Price discrimination occurs when a seller charges different prices for the same product or service to different customers, based on the willingness to pay, often to maximize revenue.