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Solving inequalities/ 3/(x+2)>0

3/(x+2)>0 inequation

A inequation with variable

The solution

You have entered [src] 
  3      
----- > 0
x + 2
$$\frac{3}{x + 2} > 0$$ 
3/(x + 2) > 0
Detail solution
Given the inequality:
$$\frac{3}{x + 2} > 0$$
To solve this inequality, we must first solve the corresponding equation:
$$\frac{3}{x + 2} = 0$$
Solve:
Given the equation:
$$\frac{3}{x + 2} = 0$$
Multiply the equation sides by the denominator 2 + x
we get:
False

Move free summands (without x)
from left part to right part, we given:
$$0 = -3$$
This equation has no roots
This equation has no roots,
this inequality is executed for any x value or has no solutions
check it
subtitute random point x, for example
x0 = 0

$$\frac{3}{2} > 0$$
3/2 > 0

so the inequality is always executed
Solving inequality on a graph
Rapid solution [src] 
And(-2 < x, x < oo)
$$-2 < x \wedge x < \infty$$ 
(-2 < x)∧(x < oo)
Rapid solution 2 [src] 
(-2, oo)
$$x\ in\ \left(-2, \infty\right)$$ 
x in Interval.open(-2, oo)
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