Answer: (16) B (17) C (18) A (19) C (20) B
Step-by-step explanation:
[tex]16.\quad \bigg|\dfrac{m}{6}\bigg|>3\\\\\\.\quad \quad \dfrac{m}{6}>3\qquad or \qquad \dfrac{m}{6}<-3[/tex]
m > 18 or m < -18
17. -5 | 2b - 8| > -90
| 2b - 8| < 18
2b - 8 < 18 or 2b - 8 > -18
2b < 26 2b > -10
b < 13 or b > -5
[tex]18.\quad \dfrac{|-2+6b|}{6}<5[/tex]
| -2 + 6b| < 30
-2 + 6b < 30 or -2 + 6b > -30
6b < 32 6b > -28
b < 32/6 b > -28/6
b < 16/3 or b > -14/3
19) |9 - 2x| - 4 ≤ -1
|9 - 2x| ≤ 3
9 - 2x ≤ 3 or 9 - 2x ≥ -3
-2x ≤ -6 -2x ≥ -12
x ≥ 3 or x ≤ 6
20) | 5 - 6x | - 2 < 53
| 5 - 6x | < 55
5 - 6x < 55 or 5 - 6x > -55
-6x < 50 -6x > -60
x > -50/6 x < 10
x > -25/3
