Let's simplify them top to bottom.
6(x + 2) < x - 3
6x + 12 < x - 3
5x + 12 < -3
5x < -15
x < -3
This one checks out.
3 + 4x <= 2(1 + 2x)
4x + 3 <= 4x + 2
This is a problem. In no world is 4x + 3 ever less than or equal to 4x + 2. This one has no solution.