The given inequalities are
x+2y≤4, 3x-y>2
To plot the graph first convert it into slope intercept form in two coordinate system i.e To convert equation of the type Ax + By= C in Slope intercept form
x/C÷A + y/C÷B =1
So,the equation becomes
x/4 + y/2≤ 1,
x/2÷3 + y/-2>1,
We have to also consider x>0 and y>0.
Now The shaded area in green is shown in the graph.
x=8/7 and y=20/7 is the point of intersection of lines
A triangular region is formed having vertices (0,0) (4,0) and (8/7,20/7) is the required solution.
