calculati elementele multimilor
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Explicație pas cu pas:
A: x ∈ Z*
[tex]{x}^{2} \leqslant {2}^{2} = > - 2 \leqslant x \leqslant 2[/tex]
A = {-2; -1; 1; 2}
B: x ∈ Z
[tex] |x - 2| < 3 = > \\ - 3 < x - 2 < 3 \\ - 3 + 2 < x < 3 + 2 \\ = > - 1 < x < 5[/tex]
B = {0; 1; 2; 3; 4}
C: x ∈ Z*
[tex]x = |x| \: si \: x \leqslant 3[/tex]
[tex] |x| \geqslant 0 = > x \geqslant 0[/tex]
[tex] = > 0 \leqslant x \leqslant 3[/tex]
C = {1; 2; 3}