Question

Which system of inequalities has no solution?
Answer

y > 1/2x + 3y > 1/2x – 1

y > 1/2x + 3y < 1/2x – 1

y < 1/2x + 3y > 1/2x – 1

y < 1/2x + 3y < 1/2x – 1

Answer 1

Do you mean this: y > 1/2x + 3y > 1/2x – 1
to be the system:
y> (1/2)x
and 3y > (1/2)x - 1
or perhaps y > 1/(2x) and 3y > (1/(2x) - 1

Grouping symbols make a big difference in the interpretation of a problem.