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

A inequation with variable

The solution

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