Solve the Inequality $$3 x ^ { 2 } + 14 x < 24$$

question 473

Multiple Choice

Solve the inequality. Write the solution set in interval notation.
- $$3 x ^ { 2 } + 14 x < 24$$

• A) \(\left( -\infty , - \frac { 4 } { 3 } \right) \cup ( 6 , \infty )\)
• B) \(\left( - 6 , \frac { 4 } { 3 } \right)\)
• C) \( \left( - \frac { 4 } { 3 } , 6 \right)\)
• D) \(( -\infty , - 6 ) \cup \left( \frac { 4 } { 3 } , \infty \right)\)

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Definitions:

Labor Supply Curve

A visual diagram that illustrates the connection between the amount of wages and the volume of labor that employees are prepared to offer.

Income Effect

Change in consumption of a good resulting from an increase in purchasing power, with relative prices held constant.

Substitution Effect

Change in consumption of a good associated with a change in its price, with the level of utility held constant.

Perfectly Competitive

A market structure characterized by a large number of small sellers and buyers, homogeneous products, and freedom of entry and exit.