Question

(x+3)(2x-7) < (4-x)(3-2x) решите неравенство

Answer 1

(x+3)(2x-7) < (4-x)(3-2x)

2x² -x - 21 < 12 - 11x + 2x²

-x + 11x < 12 + 21

10x < 33

x < 3.3

Answer 2

$2 {x}^{2} - 7 + 6x - 21 < 12 - 8x - 3x + 2 {x}^{2} \\ - 7x + 6x - 21 < 12 - 8x - 3x \\ - x - 21 < 12 - 11x \\ - + 11x < 12 + 21 \\ 10x < 33 \\ x < \frac{33}{10}$