Answer: (5) D (6) D (7) B (8) B (9) C
Step-by-step explanation:
5) 2 - 3n < 17 and 6n + 4 < 58
-2 -2 -4 -4
-3n < 15 6n < 54
÷ -3 ↓ ÷ -3 ÷6 ÷6
n > -5 and n < 9
-5 < n < 9
6) 6x + 5 > -49 and 7 - 4x ≥ -21
-5 -5 -7 -7
6x > -54 -4x ≥ -28
÷6 ÷6 ÷ -4 ↓ ÷ -4
x > -9 and x ≤ 7
-9 < x ≤ 7
7) -69 ≤ 6x - 9 ≤ -45
+9 +9 +9
-60 ≤ 6x ≤ -36
÷6 ÷6 ÷6
-10 ≤ x ≤ -6
8) -93 ≤ 9n - 3 < -84
+3 +3 +3
-90 ≤ 9n < -81
÷9 ÷9 ÷9
-10 ≤ n < -9
9) 4k - 6 ≤ -6 + 6k or -3k - 5 ≥ -2k + 10
-6k -6k +2k +2k
-2k - 6 ≤ -6 -k - 5 ≥ 10
+6 +6 +5 +5
-2k ≤ 0 -k ≥ 15
÷ -2 ↓ ÷ -2 ÷ -1 ↓ ÷ -1
k ≥ 0 or k ≤ -15
