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1 of 8 0-day streak

Solve a cubic inequality

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
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Question 1 of 8

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Consider the following cubic inequality for real x

\[2x^{3} - 18x^{2} + 54x - 54 < 0\]

Use exact values. Let F(x) denote the left side after the inequality is written in zero form. Compare F(x) with zero, find and order the critical roots, then complete the sign chart

(a)2 marks

Use the factor form to identify every distinct root and its multiplicity

(b)1 mark

Record the interval sign for \(x<3\)?

(c)1 mark

Record the interval sign for \(x>3\)?

(d)1 mark

Select the valid exact solution set