Question

resolva a inequação
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Answer 1

a)

$\dfrac{x+2}{3}-\dfrac{x-1}{2}\geq x\Longrightarrow 2(x+2)-3(x-1)\geq 6x$

$\Longrightarrow 2x+4-3x+3\geq 6x\Longrightarrow 7\geq 7x\Longrightarrow\boxed{x\leq 1}$

b)

$-4<4-2x\leq 3\Longrightarrow -2<2-x\leq\dfrac{3}{2}$

$\Longrightarrow -2-2<2-2-x\leq\dfrac{3}{2}-2\Longrightarrow -4<-x\leq-\dfrac{1}{2}$

$\Longrightarrow 4>x\geq\dfrac{1}{2}\Longrightarrow \boxed{\dfrac{1}{2}\leq x<4}$