Could you please tell me how to graph the inequality on a plane.
4x-3<7x+y with a line under the greater symbol
so you have
4x - 3 ≤ 7x + y
-3x - 3 ≤ y
or
y ≥ -3x - 3
graph the line y = -3x - 3, then shade in the region above that line
( 2 points would be (0,-3) and (-2,3) , join them to get your line )