Can anyone give me a situation when two linear inequalities have no solution but we do not have parallel lines

Question

Give specific examples

Answer 1

I'm pretty sure this works...sorry if I'm wrong:

y<2x-3
y>2x-3

I don't know if you would consider these lines parallel (I don't), but that's the only way I can think that it would work

Answer 2

No, if they are not parallel then the plane will be split into four regions and exactly one of those regions will be a solution space.

You could label each region for more clarity as well:
(since each inequality divides the plane into 2 parts)
1) not in A, not in B
2) not in A, in B
3) in A, not in B
4) in A, in B

Answer 3

Any two unparallel lines will always meet at a certain point therefore impossible to have no solution.