Question

Решите систему уравнений 5(2х+3)-2(5х+3)> 3х
(х-6)(х+2)

Answer 1

$\left \{ {{5(2x+3)-2(5x+3)3x} \atop {(x-6)(x+2)$

$\left \{ {{10x+15-10x-63x} \atop {x^2-6x+2x-12$

$\left \{ {{93x} \atop {x^2-4x-12$

$\left \{ {{9-3x3x-3x} \atop {x^2-4x-12-x^2$

$\left \{ {{9-3x0} \atop {-4x-12$

$\left \{ {{9-3x-90-9} \atop {-4x-12+12$

$\left \{ {{-3x-9} \atop {-4x$

$\left \{ {{-3x*(-1)12*(-1)}} \right.$

$\left \{ {{3x-12}} \right.$

$\left \{ {{3x:3-12:4}} \right.$

$\left \{ {{x-3}} \right.$

$-3$

ответ: x∈(-3;  3)