Question

A={x∈Z , PENTRU CARE MODULDE /2X-1/≤3}

Answer 1

Folosim definiția valorii absolute (modulul).

Answer 2

[tex] A=\{x\in \mathbb{Z}| \ |2x-1| \leq 3 \} [/tex]

[tex]|2x-1| \leq 3 \Longleftrightarrow -3 \leq 2x-1 \leq 3|_{+1} \Longleftrightarrow -2 \leq 2x \leq4|_{:2} \\\;\\ \Longleftrightarrow -1 \leq x \leq 2 \Longleftrightarrow x\in [-1,\ 2] [/tex]

Dar, x ∈ ℤ, deci :

A = { -1, 0, 1, 2}