Start by isolating y on the left side of the inequality
3x+2y>5
2y>−2x+5∣:2
y>−32x+52
Now calculate the x and y-intercepts by making y=0 (for the x-intercept), and then x=0 (for the y-intercept).
These two points will allow you to draw the line
y=−32x+52
So,
x=0⇒y=+52
y=0⇒0=−32x+5⇒x=53