Step 1
Replace the inequality signs by equality signs and plot the two equations.

y>4x-1

y=4x-1 (1)

y

y=-2x+3 (2)

Now, check whether (0, 0) satisfies the inequalities.

If origin satisfies the inequality then the region containing origin is the region for inequality or vice-versa.

y>4x-1

For x=0:

4x-1=(4*0)-1=-1

As 0>-1, so y>4x-1 its true for (0,0).

Again, for x=0:

-2x+3=(-2*0)+3=3

As 0

Step 2 Plot the region of inequality and the region satisfying both the inequalities is the feasible region. The shaded region is the feasible region.

y>4x-1

y=4x-1 (1)

y

y=-2x+3 (2)

Now, check whether (0, 0) satisfies the inequalities.

If origin satisfies the inequality then the region containing origin is the region for inequality or vice-versa.

y>4x-1

For x=0:

4x-1=(4*0)-1=-1

As 0>-1, so y>4x-1 its true for (0,0).

Again, for x=0:

-2x+3=(-2*0)+3=3

As 0

Step 2 Plot the region of inequality and the region satisfying both the inequalities is the feasible region. The shaded region is the feasible region.