Solve the compound inequality |3x-9| < 15 AND |2x-3| > 5

1)
-15 < 3x-9 < 15
-15+9 < 3x < 15+9
-6 < 3x < 24
-2 < x < 8
(-2,8)

2)
2x-3 < -5 or 2x-3 > 5
2x < -2 or 2x > 8
x < -1 or x > 4
(-oo,-1)U(4,oo)


intersection:
(-2,-1) U (4,8)