Question

Решите неравенство

Answer 1

Ответ:

$x geq frac{-8}{3}$

Объяснение:

$x + frac{2x-1}{5} -frac{13x-1}{15} geq frac{x-2}{3}$

$frac{15x + 3(2x-1) - (13x-1) - 5(x-2)}{15} geq 0$

$frac{15x + 6x - 3 - 13x + 1 - 5x + 10}{15}geq 0$

$frac{3x+8}{15} geq 0$

$3x + 8 geq 0\\3x geq -8\\x geq frac{-8}{3}$

Answer 2

$x+frac{2x-1}{5}-frac{13x-1}{15}geq frac{x-2}{3}; Big|cdot 15\\15x+3(2x-1)-(13x-1)geq 5(x-2)\\15x+6x-3-13x+1geq 5x-10\\8x-2geq 5x-10\\3xgeq -8\\xgeq -frac{8}{3}\\xgeq -2frac{2}{3}$