Question

Даю 40 балов, вопрос на картинке. Ответ распишите

Answer 1

Ответ:

1) x=4

2) -2 ≤ x ≤ -0.2

Объяснение:

1)

$\displaystyle \left \{ {{4(2x-3)\geq 5x} \atop {3x-8\leq x \hfill}} \right. \left \{ {{8x-12-5x\geq 0} \atop {3x-x\leq 8 \hfill}} \right.\left \{ {{3x\geq 12} \atop {2x\leq 8}} \right. \left \{ {{x\geq 4} \atop {x\leq 4}} \right. \Rightarrow x=4$

2)

$\displaystyle \left \{ {{(x-1)(x+1)-x(x+3) > 2x} \atop {2(x-3)-5(x+2)\leq -10 \hfill}} \right. \left \{ {{x^2-1-x^2-3x-2x > 0} \atop {2x-6-5x-10\leq -10}} \right. \\\\\\\left \{ {{-5x > 1} \atop {-3x\leq 6}} \right. \left \{ {{5x < -1} \atop {-x\leq 2}} \right. \left \{ {{x < -0.2} \atop {x\geq -2}} \right. \Rightarrow \;\; -2\leq x < -0.2$