Question

A={ x ∈ R| |2x-1| ≥3}

Sa se determine multimea A.

Answer 1

$Caz1 \\ \\ 2x-1 \geq 3 \\ 2x \geq 4 \\ x \geq 2 =\ \textgreater \ x= { 2 ; 3; 4 ; 5 ; 6 ; ..} \\ \\ Caz 2 \\ 2x-1 \geq -3 \\ 2x \geq -2 \\ x \geq -1 =\ \textgreater \ x= ( -1 ; 0 ; 1 ; 2 ; ... )$