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Popular >

3/(x+1)-4/x <= 1

Solution

\frac{3}{x + 1} - \frac{4}{x} \leq 1

Solution

x < - 1 or x > 0

+1

Interval Notation

(- \infty, - 1) \cup (0, \infty)

Solution steps

\frac{3}{x + 1} - \frac{4}{x} \leq 1

Rewrite in standard form

\frac{- x ^{2} - 2 x - 4}{x ( x + 1 )} \leq 0

Multiply both sides by

- 1

(reverse the inequality)

\frac{( - ( x ^{2} + 2 x + 4 ) ) ( - 1 )}{x ( x + 1 )} \geq 0 \cdot (- 1)

Simplify

\frac{x ^{2} + 2 x + 4}{x ( x + 1 )} \geq 0

Identify the intervals

x < - 1 or x > 0

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Frequently Asked Questions (FAQ)

What is 3/(x+1)-4/x <= 1 ?
The solution to 3/(x+1)-4/x <= 1 is x<-1\lor x>0