Which graph correctly represents (5/2)x - y < 3?

You can rewrite the inequality as

Note that

is the equation of the line drawn in the pictures. This means that, for every point on the line, the y coordinate is exactly image of the x coordinate, i.e.

The inequality is satisfied by all points whose y coordinate exceeds the image of the x coordinate. Since the y axis is positively oriented upwards, a greater value for the y coordinate means that the point has to be higher than the line.

Also, since the equality inlves a and not a sign, the line itself is excluded.

So, the correct graph is the second one.

4+4+2x

or

2x+8

step-by-step explanation: