Question
Asked Dec 9, 2019
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Solve the inequality: x2/x2+x-6>0 

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Expert Answer

Step 1

To solve

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>0 x² +x – 6

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Step 2

To factor the denominator x2+x-6, we get

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x² +x – 6 = (x – 2)(x+3) x? ->0 can be written as, Therefore, x' +x - 6 >0 (х - 2) (х+3)

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Step 3
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Find the signs of the factors of x² +x- 6 and summarize in a table : x<-3 -3<x<0 x=0 0<r<2 x=-3 x=2 x>2 r-2 x+3 undefined undefined x² +x- 6

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Algebra

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