Question

Find the solution of 2/(1+x) + 3/(1-x) < 1

Answer 1

$\huge\ your \: ans \implies: - 4 < x$

$\bf\red{ </strong><strong>question</strong><strong>=</strong><strong>></strong><strong>\frac{2}{1 + x} + \frac{3}{1 - x} < 1 } \\ \\ \bf\ \implies: \frac{2 \times (1 - x) + 3 \times (1 + x)}{(1 + x)(1 - x) } < 1 \\ \\ \bf\ \implies: \frac{2 - 2x + 3 - 3x}{ (1 + x)(1 - x)} < 1 \\ \\ \bf\ \implies: \frac{5 - 5x}{(1 + x)(1 - x)} < 1\\ \\ \bf\ \implies: \frac{5(1 - x)}{(1 + x)(1 - x)} < 1 \\ \\ \bf\ \implies: \frac{5}{1 - x} < 1 \\ \\ \bf\ \implies:5 < 1 - x \\ \\ \bf\ \implies:1 - 5 < x \\ \\ \bf\red{ \boxed{ \implies: - 4 < x}}$