1, \\ \frac{4}{1+x}+\frac{2}{1-x}-1>0, \\ \frac{4(1-x)+2(1+x)-(1-x)(1+x)}{(1-x)(1+x)}>0, \\ \frac{4-4x+2+2x-1+x^2}{(1-x)(1+x)}>0, \\ \frac{x^2-2x+5}{(1-x)(1+x)}>0, \\ (x^2-2x+5)(1-x)(1+x)>0, \\ (x^2-2x+5)(1-x)(1+x)=0, \\ x^2-2x+5=0, D=-16<0, a=1>0, x^2-2x+5>0, \\ 1-x=0, x_1=1, \\ 1+x=0, x_2=-1, \\ (1-x)(1+x)>0, \\ -(x-1)(x+1)>0, \\ (x-1)(x+1)<0, \\ -1<x<1< var="">' alt='\frac{4}{1+x}+\frac{2}{1-x}>1, \\ \frac{4}{1+x}+\frac{2}{1-x}-1>0, \\ \frac{4(1-x)+2(1+x)-(1-x)(1+x)}{(1-x)(1+x)}>0, \\ \frac{4-4x+2+2x-1+x^2}{(1-x)(1+x)}>0, \\ \frac{x^2-2x+5}{(1-x)(1+x)}>0, \\ (x^2-2x+5)(1-x)(1+x)>0, \\ (x^2-2x+5)(1-x)(1+x)=0, \\ x^2-2x+5=0, D=-16<0, a=1>0, x^2-2x+5>0, \\ 1-x=0, x_1=1, \\ 1+x=0, x_2=-1, \\ (1-x)(1+x)>0, \\ -(x-1)(x+1)>0, \\ (x-1)(x+1)<0, \\ -1<x<1< var="">' align="absmiddle" class="latex-formula">
x∈(-1;1)