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Popular >

5/x+5>= 0

Solution

\frac{5}{x} + 5 \geq 0

Solution

x \leq - 1 or x > 0

+1

Interval Notation

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

Solution steps

\frac{5}{x} + 5 \geq 0

Rewrite in standard form

\frac{5 + 5 x}{x} \geq 0

Factor

\frac{5 + 5 x}{x} : \frac{5 ( x + 1 )}{x}

\frac{5 ( x + 1 )}{x} \geq 0

Divide both sides by

5

\frac{\frac{5 ( x + 1 )}{x}}{5} \geq \frac{0}{5}

Simplify

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

Identify the intervals

x \leq - 1 or x > 0

Popular Examples

1/2 (2x-5)> x/3+6

\frac{1}{2} (2 x - 5) > \frac{x}{3} + 6

3 (x + 6) = 48

simplify sqrt(336)simplify

336

simplify 9*9 simplify

9 \cdot 9

16 x^{2} - 56 x = - 51

Frequently Asked Questions (FAQ)

What is 5/x+5>= 0 ?
The solution to 5/x+5>= 0 is x<=-1\lor x>0