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Popular >

(x-2)/(x^2-36)>= 0

Solution

\frac{x - 2}{x ^{2} - 36} \geq 0

Solution

- 6 < x \leq 2 or x > 6

+1

Interval Notation

(- 6, 2] \cup (6, \infty)

Solution steps

\frac{x - 2}{x ^{2} - 36} \geq 0

Factor

\frac{x - 2}{x ^{2} - 36} : \frac{x - 2}{( x + 6 ) ( x - 6 )}

\frac{x - 2}{( x + 6 ) ( x - 6 )} \geq 0

Identify the intervals

- 6 < x \leq 2 or x > 6

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simplify (y^{3/2})^2 simplify

(y^{\frac{3}{2}})^{2}

Frequently Asked Questions (FAQ)

What is (x-2)/(x^2-36)>= 0 ?
The solution to (x-2)/(x^2-36)>= 0 is -6<x<= 2\lor x>6