+129852 Since this is a dashed line.....we will have either "< " or " > "
The points (3,1) and (1, -2) are on the graph boundary
The slope of this dashed line is [ -2 - 1 ] / [ 1 - 3 ] = -3 / -2 = 3 /2
The equation of the dashed line is
y = (3/2)( x - 1) - 2
y = (3/2)x - 3/2 - 2
y = (3/2)x - 7/2
We will either have
y < (3/2)x - 7/2 or y > (3/2)x - 7/2
(0 ,0) is in the feasible [ yellow ] region
Putting this coordinate into the second equation makes this inequality true
So....the inequality is
y > (3/2)x - 7/2 multiply through by 2
2y > 3x - 7 subtract 2y from both sides
0 > 3x - 2y - 7 which is the same as
3x - 2y - 7 < 0
