Solve the following system of inequalities graphically:

x ≥ 3, y ≥ 2

Given x ≥ 3………1

y ≥ 2……………2

Since x ≥ 3 means for any value of y the equation will be unaffected so similarly for y ≥ 2, for any value of x the equation will be unaffected.

Now putting x = 0 in the 1

0 ≥3 which is not true

Putting y = 0 in 2

0 ≥ 2 which is not true again

This implies the origin doesn’t satisfy in the given inequalities. The region to be included will be on the right side of the two equalities drawn on the graphs.

The shaded region is the desired region.