(x - 2)^2 < 9,
x - 2 < 3 и x - 2 > -3
x < 5 и x > -1
x € (-1; 5)
2)
(x + 3)^2 > 2,
x + 3 > 2 или x + 3 < - 2
x > -1 или x < -5
x € (-infinity; -5) U (-1; +infinity)
3)
||x| - 2| <= 4,</p>
|x| - 2 <= 4 и |x| - 2 >= -4
x - 2 <= 4 и -x - 2 <= 4 и -x - 2 >= 4 и x - 2 >= 4
x <= 6 и x >= - 6 и x <= -6 и x >= 6
x € [-6; 6]
4)
||x| - 6| < 4,
|x| - 6 < 4 и |x| - 6 > -4
x - 6 < 4 и x - 6 > - 4
x < 10 и x > 2
x € (2; 10)