1/2(x-2)<3/4(1-3x)<-2

1/2(x-2)<3/4(1-3x)<-2

preliminary:
times 4
2(x-2) < 3(1-3x) < -8
2x - 4 < 3 - 3x < -8

2x-4 < 3-3x and 3 - 3x < -8
5x < 7 and -3x < -11
x < 7/5 and x > 11/3
no such number, thus no solution.