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Popular >

(x-7)/(x+5)>=-3

Solution

\frac{x - 7}{x + 5} \geq - 3

Solution

x < - 5 or x \geq - 2

+1

Interval Notation

(- \infty, - 5) \cup [- 2, \infty)

Solution steps

\frac{x - 7}{x + 5} \geq - 3

Rewrite in standard form

\frac{4 x + 8}{x + 5} \geq 0

Factor

\frac{4 x + 8}{x + 5} : \frac{4 ( x + 2 )}{x + 5}

\frac{4 ( x + 2 )}{x + 5} \geq 0

Divide both sides by

4

\frac{\frac{4 ( x + 2 )}{x + 5}}{4} \geq \frac{0}{4}

Simplify

\frac{x + 2}{x + 5} \geq 0

Identify the intervals

x < - 5 or x \geq - 2

Popular Examples

2 x^{2} + x \geq 3

simplify 49^{-1/2}simplify

4 9^{- \frac{1}{2}}

simplify ((4-0.01)^3-64)/(-0.01)simplify

\frac{( 4 - 0.01 ) ^{3} - 64}{- 0.01}

3 x + 1 > 4 x - 2

5>= (x-4)/(-2)>-3

5 \geq \frac{x - 4}{- 2} > - 3

Frequently Asked Questions (FAQ)

What is (x-7)/(x+5)>=-3 ?
The solution to (x-7)/(x+5)>=-3 is x<-5\lor x>=-2