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Popular >

1/x >= 1/(x+3)

Solution

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

Solution

x < - 3 or x > 0

+1

Interval Notation

(- \infty, - 3) \cup (0, \infty)

Solution steps

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

Rewrite in standard form

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

If

\frac{1}{a} \geq 0

then

a > 0

x (x + 3) > 0

Identify the intervals

x < - 3 or x > 0

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Frequently Asked Questions (FAQ)

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