Solve the Inequality $$x ^ { 3 } + 2 x ^ { 2 } - 11 x + 20 \leq 0$$

question 54

Multiple Choice

Solve the inequality. Write the solution set in interval notation.
- $$x ^ { 3 } + 2 x ^ { 2 } - 11 x + 20 \leq 0$$

• A) \([ - 5 , \infty )\)
• B) \(( - \infty , - 5 ] \cup [ 4 , \infty )\)
• C) \(( - \infty , - 5 ]\)
• D) \(( - \infty , - 5 ] \cup [ - 3,4 ]\)

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Definitions:

Price Change

A fluctuation in the market price of a good or service over a specific period.

Initial Endowment

The initial allocation of goods, resources, or money which an individual or entity possesses at the start of a consideration period.

Weak Axiom

A principle in consumer theory that, if a consumer chooses bundle A over bundle B when both are affordable, they will not choose B over A if A's price decreases and B's price stays the same or increases.

Revealed Preference

A theory that determines a consumer's preferences based on their purchasing behavior, under the assumption that their choices reveal their valuation of goods.