Question

Sa se rezolve: |2x-1| mai mic sauegal cu 3. Va rog

Answer 1

avem asa -3<2x-1<3 | -1 => -4<2x<2 | :2 => -2<x<1 => x apartine {-1,0,1,2}

Answer 2

$\displaystyle |2x-1| \leq 3 \\ 2x-1 \leq 3 \\ 2x \leq 3+1 \\ 2x \leq 4 \\ x \leq \frac{4}{2} \\ x \leq 2 \\ 2x-1 \geq -3 \\ 2x \geq -3+1 \\ 2x \geq -2 \\ x \geq - \frac{2}{2} \\ x \geq -1 \\ -1 \leq x \leq 2 \\ x \in [-1,2]$