Solve the Inequality and Write the Solution Set in Interval $x ^ { 3 } - 36 x \geq 0$

question 15

Multiple Choice

Solve the inequality and write the solution set in interval notation.​ $x ^ { 3 } - 36 x \geq 0$ ​

• A) \([ - 6,0 ] \cup [ 6 , \infty ]\)
• B) \([ - 6,0 ] \cup [ 6 , \infty )\)
• C) \([ - 36,0 ] \cap [ 6 , \infty ]\)
• D) \([ - 36,0 ] \cup [ - 6 , \infty )\)
• E) \([ - 6,0 ] \cap [ 6 , \infty )\)

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Definitions:

Studentized Residuals

Residuals in a statistical model that have been standardized by dividing by an estimate of their standard deviation.

Least-Squares Regression

A statistical method used to determine a line of best fit by minimizing the sum of the squares of the vertical distances of the points from the line.

Male Employee

A person identified as male working in a professional or occupational setting.

Studentized Residuals

Residuals divided by an estimate of their standard deviation, used in statistics to help identify outliers in a regression analysis.