Use the Graph to Solve the Inequality $x ^ { 3 } - 3 x ^ { 2 } - 4 x + 12 \geq 0$

question 14

Multiple Choice

Use the graph to solve the inequality. $x ^ { 3 } - 3 x ^ { 2 } - 4 x + 12 \geq 0$

• A) \(( - 2,2 ) \cup ( 3 , \infty )\)
• B) \([ - \infty , 3 ) \cup ( 2,3 ]\)
• C) \(( - 2,2 ]\)
• D) \([ - 2,2 ] \cup [ 3 , \infty )\)
• E) no solution

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Definitions:

Method of Residues

A technique in scientific and logical analysis where elements accounted for by existing explanations are removed to isolate the effect of a single factor.

Radioactivity

The spontaneous emission of particles or radiation from the nucleus of an unstable atom, transforming it into a different element.

Moonlight

To work at an additional job, often secretly and at night.

Method

A planned way of doing something involving systematic and orderly steps or techniques to achieve a desired result or solve a problem.