To grap the given lineal inequality:
As y=x the points have the same coordinate value for x and y
Points (5,5) and (-3,-3)
Put those points in the plane and link them with a dotted line (as the inequality sing is < the boundary line is a dotted line).
The shadow area is under the line (the inequality sing is < (less than), then the solution is the values that are less than the line (under the line).
As you can see above the quadrant that is completely shaded is IV.Solution is all the values in the shaded area.