Solve the Inequality Below $x ^ { 3 } - 8 x ^ { 2 } + 9 x + 18 \leq 0$

question 46

Multiple Choice

Solve the inequality below. $x ^ { 3 } - 8 x ^ { 2 } + 9 x + 18 \leq 0$

• A) \(( - \infty , 3 ] \cup [ 6 , \infty )\)
• B) \(( - \infty , - 1 ] \cup [ 6 , \infty )\)
• C) \(( - \infty , - 1 ] \cup [ 3,6 ]\)
• D) \([ - 1,3 ] \cup [ 6 , \infty )\)
• E) \(( - \infty , - 1 ] \cup [ 3 , \infty )\)

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Definitions:

Operator

In genetics, a segment of DNA to which a repressor binds, controlling the expression of genes; in mathematics, a function or symbol that represents a function from a set of numbers.

Polyadenylation

That part of eukaryotic mRNA processing in which multiple adenine-containing nucleotides (a poly-A tail) are added to the 3' end of the molecule.

Prokaryotic mRNA

Messenger RNA found in prokaryotic organisms that is used to carry genetic information from DNA for protein synthesis.

Posttranscriptional Regulation

The control of gene expression at the RNA level, occurring after transcription but before translation.