The goal is to get the inequality into the form Ax+By > C or Ax+By < C
First multiply both sides of the inequality by 2 to clear out the fractions y > (3/2)x - 7/2 2*y > 2*( (3/2)x - 7/2 ) 2y > 2*( (3/2)x ) + 2*( -7/2 ) 2y > 3x - 7
Now get the x and y terms to one side; move the 7 to its own side 2y > 3x - 7 2y+7 > 3x - 7+7 ... add 7 to both sides 2y+7 > 3x 2y+7-2y > 3x-2y ... subtract 2y from both sides 7 > 3x-2y 3x-2y < 7 ... flip the two sides and the inequality sign
We finally have the inequality into the form Ax+By < C where A = 3 B = -2 C = 7
