Log1/2(2x+1)>-2log1/2(3-5x)<-3

-2" alt="log_{\frac{1}{2}}(2x+1)>-2" align="absmiddle" class="latex-formula">
$0<\frac{1}{2}<1$
$0<2x+1<(\frac{1}{2})^{-2}$
$0<2x+1<4$
$-1<2x<3$
$-0.5<x<1.5$
x є $(-0.5;1.5)$
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$log_{\frac{1}{2}}(3-5x)<-3$
$0<\frac{1}{2}<1$

(\frac{1}{2})^{-3}" alt="3-5x>(\frac{1}{2})^{-3}" align="absmiddle" class="latex-formula">

8" alt="3-5x>8" align="absmiddle" class="latex-formula">

5" alt="-5x>5" align="absmiddle" class="latex-formula">
$x<-1$
x є $(-\infty;-1)$