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2/(x-1)+1/(x+2)>1/(2x+3) inequation

A inequation with variable

The solution

You have entered [src]
  2       1        1   
----- + ----- > -------
x - 1   x + 2   2*x + 3
$$\frac{1}{x + 2} + \frac{2}{x - 1} > \frac{1}{2 x + 3}$$
1/(x + 2) + 2/(x - 1) > 1/(2*x + 3)
Solving inequality on a graph
Rapid solution [src]
Or(And(-2 < x, x < -3/2), And(1 < x, x < oo))
$$\left(-2 < x \wedge x < - \frac{3}{2}\right) \vee \left(1 < x \wedge x < \infty\right)$$
((-2 < x)∧(x < -3/2))∨((1 < x)∧(x < oo))
Rapid solution 2 [src]
(-2, -3/2) U (1, oo)
$$x\ in\ \left(-2, - \frac{3}{2}\right) \cup \left(1, \infty\right)$$
x in Union(Interval.open(-2, -3/2), Interval.open(1, oo))