Question

calculati elementele multimilor ​

Answer 1

Explicație pas cu pas:

A: x ∈ Z*

${x}^{2} \leqslant {2}^{2} = > - 2 \leqslant x \leqslant 2$

A = {-2; -1; 1; 2}

B: x ∈ Z

$|x - 2| < 3 = > \\ - 3 < x - 2 < 3 \\ - 3 + 2 < x < 3 + 2 \\ = > - 1 < x < 5$

B = {0; 1; 2; 3; 4}

C: x ∈ Z*

$x = |x| \: si \: x \leqslant 3$

$|x| \geqslant 0 = > x \geqslant 0$

$= > 0 \leqslant x \leqslant 3$

C = {1; 2; 3}