Question

Resolva a equação modular |x - 2|=|3 - 2x| e assinale a alternativa correta:
S = {1}



S = {5/3}



S = {3, 5/3}



S = {1, 2/3}



S = {1, 5/3}

Answer 1

$\left \{ {{x-2=3-2x} \atop {x-2=-(3-2x)}} \right. \left \{ {{x=2x=3+2} \atop {x-2=-3+2x}} \right. \left \{ {{3x=5} \atop {x-2x=-3+2}} \right. \left \{ {{x=5/3} \atop {-x=-1}} \right. \left \{ {{x=5/3} \atop {x=1}} \right.$


x ∈ {1, 5/3}

Answer 2

{1, 5/3}  é a correta