Answer:
A) 4.7 < x < -3
B) 1.14 < x < 1.09
Step-by-step explanation:
a)
x + 14 < 4x + 2 < 3x + 11
x + 14 < 4x
14 < 4x - x
14 < 3x
4.7 < x
2 < 3x + 11
2 - 11 < 3x
-9 < 3x
-3 < x
4.7 < x - 3 < x
4.7 < x < -3
b)
x + 8 < 8x - 6 < 5x + 12
x + 8 < 8x
8 < 8x - x
8 < 7x
1.14 < x
-6 < 5x + 12
12 < 5x + 6
12 < 11x
1.09 < x
1.14 < x 1.09 < x
1.14 < x < 1.09
