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Popular >

(x^2+x-6)/(x-7)<= 0

Solution

\frac{x ^{2} + x - 6}{x - 7} \leq 0

Solution

x \leq - 3 or 2 \leq x < 7

+1

Interval Notation

(- \infty, - 3] \cup [2, 7)

Solution steps

\frac{x ^{2} + x - 6}{x - 7} \leq 0

Factor

\frac{x ^{2} + x - 6}{x - 7} : \frac{( x - 2 ) ( x + 3 )}{x - 7}

\frac{( x - 2 ) ( x + 3 )}{x - 7} \leq 0

Identify the intervals

x \leq - 3 or 2 \leq x < 7

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Frequently Asked Questions (FAQ)

What is (x^2+x-6)/(x-7)<= 0 ?
The solution to (x^2+x-6)/(x-7)<= 0 is x<=-3\lor 2<= x<7