Решите неравенство:

2 / (х+1) - 1 / (х-1) <1

2/x+1-1/x-1<1, x≠-1; x≠1

2/x+1-1/x-1-1<0

2 (x-1) - (x+1) * (x-1) / (x+1) * (x-1) <0

2x-2-x-1 - (x²-1) / (x+1) * (x-1) <0

2x-2-x-1-x²+1 / (x+1) * (x-1) <0

x-2-x² (x+1) * (x-1) <0

{x-2-x²<0

{ (x+1) * (x-1) >0

{x-2-x²>0

{ (x+1) * (x-1) <0

}x∈R

}x∈[-∞, - 1] ∪ [1, + ∞]

}x∈∅

x∈[-1, 1

x∈ [-∞, - 1) ∪ [ 1, + ∞] x≠-1, x≠1