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Popular >

(x+2)/(x-7)>= 2/5

Solution

\frac{x + 2}{x - 7} \geq \frac{2}{5}

Solution

x \leq - 8 or x > 7

+1

Interval Notation

(- \infty, - 8] \cup (7, \infty)

Solution steps

\frac{x + 2}{x - 7} \geq \frac{2}{5}

Rewrite in standard form

\frac{3 x + 24}{x - 7} \geq 0

Factor

\frac{3 x + 24}{x - 7} : \frac{3 ( x + 8 )}{x - 7}

\frac{3 ( x + 8 )}{x - 7} \geq 0

Divide both sides by

3

\frac{\frac{3 ( x + 8 )}{x - 7}}{3} \geq \frac{0}{3}

Simplify

\frac{x + 8}{x - 7} \geq 0

Identify the intervals

x \leq - 8 or x > 7

Popular Examples

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3 x + 2 < - 13

simplify (12a^{-3}b^{10})/(-3a^{-7)b^{-2}}simplify

\frac{12 a ^{- 3} b ^{10}}{- 3 a ^{- 7} b ^{- 2}}

Frequently Asked Questions (FAQ)

What is (x+2)/(x-7)>= 2/5 ?
The solution to (x+2)/(x-7)>= 2/5 is x<=-8\lor x>7