Question

Fie multimea { x apartine R/ |2x-3| < sau egal decat 4} enumerati elementele multimii A intersectat cu N.

Answer 1

$|2x-3| \leq 4 \Rightarrow -4 \leq 2x-3 \leq 4. \\ \\ -4 \leq 2x-3 \leq 4~~~~~~~~~~~~~|+3 \\ -1 \leq 2x \leq 7~~~~~~~~~~~~~~~~~~|:2 \\ -\frac{1}{2} \leq x \leq \frac{7}{2} \Leftrightarrow x \in [- \frac{1}{2}; \frac{7}{2} ]. \\ \\ \boxed{A=[- \frac{1}{2}; \frac{7}{2} ] }$