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Popular >

(x+8)/(x-1)>=-2

Solution

\frac{x + 8}{x - 1} \geq - 2

Solution

x \leq - 2 or x > 1

+1

Interval Notation

(- \infty, - 2] \cup (1, \infty)

Solution steps

\frac{x + 8}{x - 1} \geq - 2

Rewrite in standard form

\frac{3 x + 6}{x - 1} \geq 0

Factor

\frac{3 x + 6}{x - 1} : \frac{3 ( x + 2 )}{x - 1}

\frac{3 ( x + 2 )}{x - 1} \geq 0

Divide both sides by

3

\frac{\frac{3 ( x + 2 )}{x - 1}}{3} \geq \frac{0}{3}

Simplify

\frac{x + 2}{x - 1} \geq 0

Identify the intervals

x \leq - 2 or x > 1

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Frequently Asked Questions (FAQ)

What is (x+8)/(x-1)>=-2 ?
The solution to (x+8)/(x-1)>=-2 is x<=-2\lor x>1