[tex] |x| = | - x| = x[/tex]
[tex]A=\left \{ x\:\in\:\mathbb{Z} \:|\:|x|\leq 3\right \}
[/tex]
[tex] |0| = 0 \leq3[/tex]
[tex] | - 1| = |1| = 1 \leq 3[/tex]
[tex] | - 2| = |2| = 2 \leq 3[/tex]
[tex] | - 3| = |3| = 3 \leq 3[/tex]
[tex] = > x \: \in \: \left \{ 0,\pm1,\pm2,\pm3 \right \}
[/tex]
[tex] = > A =\left \{ 0,\pm1,\pm2,\pm3 \right \}[/tex]