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Popular >

((x-5))/(x+2)>=-6

Solution

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

Solution

x < - 2 or x \geq - 1

+1

Interval Notation

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

Solution steps

\frac{x - 5}{x + 2} \geq - 6

Rewrite in standard form

\frac{7 x + 7}{x + 2} \geq 0

Factor

\frac{7 x + 7}{x + 2} : \frac{7 ( x + 1 )}{x + 2}

\frac{7 ( x + 1 )}{x + 2} \geq 0

Divide both sides by

7

\frac{\frac{7 ( x + 1 )}{x + 2}}{7} \geq \frac{0}{7}

Simplify

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

Identify the intervals

x < - 2 or x \geq - 1

Popular Examples

simplify (sqrt(5)-sqrt(7))^2 simplify

(5 - 7)^{2}

\frac{x - 2}{8 x + 1} < 0

\frac{a - 2}{3} > a + 4

5 x^{2} - 5 x - 1 = 0

7 x - 1 \leq - 50

Frequently Asked Questions (FAQ)

What is ((x-5))/(x+2)>=-6 ?
The solution to ((x-5))/(x+2)>=-6 is x<-2\lor x>=-1