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Popular >

(2x-6)/(x+5)<= 0

Solution

\frac{2 x - 6}{x + 5} \leq 0

Solution

- 5 < x \leq 3

+1

Interval Notation

(- 5, 3]

Solution steps

\frac{2 x - 6}{x + 5} \leq 0

Factor

\frac{2 x - 6}{x + 5} : \frac{2 ( x - 3 )}{x + 5}

\frac{2 ( x - 3 )}{x + 5} \leq 0

Divide both sides by

2

\frac{\frac{2 ( x - 3 )}{x + 5}}{2} \leq \frac{0}{2}

Simplify

\frac{x - 3}{x + 5} \leq 0

Identify the intervals

- 5 < x \leq 3

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Frequently Asked Questions (FAQ)

What is (2x-6)/(x+5)<= 0 ?
The solution to (2x-6)/(x+5)<= 0 is -5<x<= 3