решите неравенство:
2/(х+1)-1/(х-1)<1

Решение внизу на фото

2/x+1-1/x-1<1, x≠-1; x≠12/x+1-1/x-1-1<02(x-1)-(x+1)*(x-1)/(x+1)*(x-1)<02x-2-x-1-(x²-1)/(x+1)*(x-1)<02x-2-x-1-x²+1/(x+1)*(x-1)<0x-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, 1x∈ [-∞, -1) ∪ [ 1, +∞] x≠-1, x≠1