Question

Решите два примера пожалуйста :з

Answer 1

$1)$

$left { {{3x-4 textgreater 9x-6} atop {x-5 leq 2x+4}} right.$

$left { {{3x-9x textgreater -6+4} atop {x-2x leq 4+5}} right.$

$left { {{-6x textgreater -2} atop {-x leq9}} right.$

$left { {{x textless frac{1}{3} } atop {x geq -9}} right.$

-----------[-9]-----------------
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$x$ ∈ $[-9; frac{1}{3} )$

$2)$

$log_{ frac{1}{2}}(3x+4) leq -4$

ОДЗ: 
$3x+4 textgreater 0$
$3x textgreater -4$
$x textgreater -1 frac{1}{3}$

$log_{ frac{1}{2}}(3x+4) leq log_{ frac{1}{2}}( frac{1}{2}) ^{-4}$

$log_{ frac{1}{2}}(3x+4) leq log_{ frac{1}{2}}16$

$3x+4 geq 16$

$3x geq 16-4$

$3x geq 12$

$x geq4$

-----------------[4]---------------
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Ответ: $[4;+$ ∞ $)$