14.) |3x + 2| - 8 > 21
|3x + 2| > 21 + 8
| 3x + 2| > 29
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
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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
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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
