Solve the following systems of inequalities graphically  x ≥ 3, y ≥ 2.

Since (0, 0) does not satisfy the inequality x ≥ 3 because 0 ≥ 3, which is false. So the portion lying on the right side of x - 3 is the region represented by, x ≥ 3.

Graph of inequality (ii). Let us draw the graph of the line v = 2. Clearly, y = 2 is a line parallel to x-axis at a distance of 3 units from it. Since (0. 0) does not satisfy y ≥ 2 as 0 ≥ 2, which is false. So, the portion not containing the origin is represented by the given inequality.

The common region of the above two regions represents the solution set of the given linear constraints.