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Popular >

(x+9)/(x-3)>=-2

Solution

\frac{x + 9}{x - 3} \geq - 2

Solution

x \leq - 1 or x > 3

+1

Interval Notation

(- \infty, - 1] \cup (3, \infty)

Solution steps

\frac{x + 9}{x - 3} \geq - 2

Rewrite in standard form

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

Factor

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

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

Divide both sides by

3

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

Simplify

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

Identify the intervals

x \leq - 1 or x > 3

Popular Examples

((x^2-9))/(x^2)>0

\frac{( x ^{2} - 9 )}{x ^{2}} > 0

6 x^{2} + 5 x + 7 = 0

factor 25a^2-10ab+b^2 factor

25 a^{2} - 10 ab + b^{2}

9 x - 7 (x + 3) = 27

10 b + 9 - 3 b = 2

Frequently Asked Questions (FAQ)

What is (x+9)/(x-3)>=-2 ?
The solution to (x+9)/(x-3)>=-2 is x<=-1\lor x>3