Question

determinati multimea A={x€ Z | | 2-x|=3}

Answer 1

$A = \left \{ x\in\mathbb{Z}\:|\:\:|2-x|=3\right \}$

$|2 - x| = 3$

$1)2 - x = 3$

$- x = 3 - 2$

$- x = 1 \: | \times ( - 1)$

$x = - 1\:\in\:\mathbb{Z}$

$2)2 - x = - 3$

$- x = - 3 - 2$

$- x = - 5 \: | \times ( - 1)$

$x = 5\:\in\:\mathbb{Z}$

$x \: \in \:\left \{ -1,5 \right \} = > A=\left \{ -1,5 \right \}$