Question

O conjunto da equação |2x-1|= -x+1 é igual a:
a) {2/3,0}
b) {0}
c) {2/5,1}
d){2/3}

Answer 1

Resposta:

alternativa A <3......

Answer 2

$|2x-1|=-x+1$

$\mathrm{Caso\ 1}\Longrightarrow 2x-1=-x+1\Longrightarrow 3x=2\ \therefore\ \boxed{x=\dfrac{2}{3}}$

$\mathrm{Caso\ 2}\Longrightarrow 2x-1=-(-x+1)\Longrightarrow 2x-1=x-1\ \therefore\ \boxed{x=0}$

$\boxed{x=\left\{0,\dfrac{2}{3}\right\}}\Longrightarrow \mathrm{Letra\ A.}$