Решите неравенство: 2/(х+1)-1/(х-1)<1

Question

Решите неравенство:
2/(х+1)-1/(х-1)<1<br>

Answer 1

Решение внизу на фото

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Answer 2

2/x+1-1/x-1<1, x≠-1; x≠1<br>2/x+1-1/x-1-1<0<br>2(x-1)-(x+1)*(x-1)/(x+1)*(x-1)<0<br>2x-2-x-1-(x²-1)/(x+1)*(x-1)<0<br>2x-2-x-1-x²+1/(x+1)*(x-1)<0<br>x-2-x²(x+1)*(x-1)<0<br>
{x-2-x²<0<br>{(x+1)*(x-1)>0

{x-2-x²>0
{(x+1)*(x-1)<0<br>
}x∈R
}x∈[-∞, -1] ∪ [1, +∞]
}x∈∅
x∈[-1, 1

x∈ [-∞, -1) ∪ [ 1, +∞] x≠-1, x≠1