The correct graph of the inequality is D.
Which graph represents the solution set of the inequality 3x + 2y < 4?
We can rewrite the inequality as follows:
3x + 2y < 4
2y < -3x + 4
y < (-3x + 4)/2
y < (-3/2)*x + 2
So we have a negative slope, and an y-intercept of 2, and we can see that y is smaller than the line, so we need to shade the region below that line, from that, we can see that the correct option is D.