Question

Draw the graph of the solution set of x + y ≥ 4

Answer 1

The given inequality, 

x + y ≥ 4 ...(i)

Step 1: Consider inequation as a strict equation i.e. x + y + 4

Step 2: Find the points on x-axis and y axis i.e

x	0	4
y	4	0

Step 3: Plot the graph using the above table.

Step 4: Take a point (0, 0) and put it in the given inequation (i), we get 0 + 0 ≥ 4, which is false, so shaded region will be away from the origin

Here, shaded region shows the inequality x + y ≥ 4.