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Popular >

1/(x+2)<= 3/(x-5)

Solution

\frac{1}{x + 2} \leq \frac{3}{x - 5}

Solution

- \frac{11}{2} \leq x < - 2 or x > 5

+2

Interval Notation

[- \frac{11}{2}, - 2) \cup (5, \infty)

Decimal Notation

- 5.5 \leq x < - 2 or x > 5

Solution steps

\frac{1}{x + 2} \leq \frac{3}{x - 5}

Rewrite in standard form

\frac{- 2 x - 11}{( x + 2 ) ( x - 5 )} \leq 0

Identify the intervals

- \frac{11}{2} \leq x < - 2 or x > 5

Popular Examples

5 x^{2} - 19 x - 4 = 0

simplify (4^5)^{11/7}simplify

(4^{5})^{\frac{11}{7}}

simplify (2)^{-2}simplify

(2)^{- 2}

\frac{m}{8} + 2 = 16

simplify-(1/2)^2+1/(1/2*8)simplify

- (\frac{1}{2})^{2} + \frac{1}{\frac{1}{2} \cdot 8}

Frequently Asked Questions (FAQ)

What is 1/(x+2)<= 3/(x-5) ?
The solution to 1/(x+2)<= 3/(x-5) is -11/2 <= x<-2\lor x>5