Solve the Quadratic Inequality $$( 7 + 3 x ) ^ { 2 } \leq - 25$$

question 52

Multiple Choice

Solve the quadratic inequality. Write the solution set in interval notation.
- $$( 7 + 3 x ) ^ { 2 } \leq - 25$$

• A) \(\varnothing\)
• B) \(\left[ - 4 , - \frac { 2 } { 3 } \right]\)
• C) \(( - \infty , \infty )\)
• D) \(( - \infty , - 4 ) \cup \left( - \frac { 2 } { 3 } , \infty \right)\)

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Definitions:

Consumer Price Index

A measure that examines the weighted average of prices of a basket of consumer goods and services, used as an indicator of inflation.

Nominal Wage Rate

The wage rate paid to employees expressed in current dollars, without adjustment for inflation or purchasing power.

Real Wage Rate

The purchasing power of wages, adjusted for inflation, indicating the actual goods and services that can be bought.

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The additional revenue generated from employing one more unit of a resource, like labor or capital.