3x + 2 > 29 3x + 2 < -29 3x > 29 - 2 3x < -29 - 2 3x > 27 3x < -31 x > 27/3 x < -31/3 or - 10 1/3 x > 9
so the answer for this is : x > 9 or x < -31/3 <=== open circle on -10 1/3, shaded to the left and open circle on 9, shaded to the right ===================== 15.) 4|x - 17 | < = 16 | x - 17 | < = 16/4 | x - 17 | < = 4
-4 < = x - 17 < = 4 -4 + 17 < = x - 17 + 17 < = 4 + 17 13 < = x < = 21 <=== closed circle on 13, closed circle on 21, shaded in between
==================== 16.) 14 + |3 - 2x| > = 10 | 3 - 2x | > = 10 - 14 | 3 - 2x | > = -4 this has no solution because an absolute value cannot equal a negative number
