Question

Даю 50 баллов. Если знаете решение, прошу написать всё подробно.

Answer 1

$1) |2x+3| textless 9\ \ 2x+3 textless 9\2x+3 textgreater -9\ \ 2x textless 9-3\2x textgreater -9-3\ \ 2x textless 6\x textgreater -12\ \x textless 3\x textgreater -6\ xin (-6;3)$

$2) |5x+2| geq 4.4 \ \ 5x+2 geq 4.4 \ 5x+2 leq -4.4 \ \ 5x geq 4.4-2 \ 5x leq -4.4-2 \ \ 5x geq 2.4 \ 5x leq -6.4 \ \ x geq 0.48 \ x leq -1.28 \ xin [-1.28;0.48]$


$3) |3x-7| textgreater 5 \ \ 3x-7 textgreater 5\3x-7 textless -5 \ \ 3x textgreater 5+7 \ 3x textless -5+7 \ \ 3x textgreater 12 \ 3x textless 2 \ \ x textgreater 4\x textless frac{2}{3} \ xin (4;+infty} )$


$4) |2x-9| leq 3.5 \ \ 2x-9 leq 3.5 \ 2x-9 geq -3.5 \ \ 2x leq 3.5+9 \ 2x geq -3.5+9 \ \ 2x leq 12.5 \ 2x geq 5.5 \ \ x leq 6.25 \ x geq 2.75 \ xin [2.75;6.25]$

Answer 2

И Вам спасибо!