To graph
4y > 3x - 5
think first in the line
4y = 3x - 5
then, find two points of the line, for example when x = 0, then:
4y = 3*0 - 5
4y = -5
y = -5/4
when y = 0, then:
4*0 = 3x - 5
0 = 3x - 5
5 = 3x
5/3 = x
so, points (0, -5/4) and (5/3, 0) lie on the line.
Graph the line that passes through these points. Use a dashed line, because there is a > in the inequality (points on the line don't satisfy the inequality).
Then, select a point and check if it satisfies the inequality. For example point (0,0)
4*0 > 3*0 - 5
0 > -5
The inequality is satisfied by (0,0), therefore you have to fill the area above the dashed line.
Answer:
Graph a dashed line through points (0,-5/4) and (5/3,0), and fill in the area above the curve.