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5)Which of the following is a critical number of the inequality x^2+5x-6<0 ?

5)Which of the following is a critical number of the inequality x^2+5x-6<0 ?-example-1
User LGP
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1 Answer

3 votes

Answer:

B. 1

Explanation:

Given the inequality:


x^2+5x-6<0

To find the critical number, first, change the inequality sign to the equality sign :


x^2+5x-6=0

Next, solve for x:


\begin{gathered} x^2+6x-x-6=0 \\ x(x+6)-1(x+6)=0 \\ (x-1)(x+6)=0 \\ x-1=0\text{ or }x+6=0 \\ x=1\text{ or }x=-6 \end{gathered}

Therefore, from the options, 1 is the critical number.

The correct option is B.

User Artem Kalachev
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