Question

Graph the solution set of inequation:

x – y ≤ 3

Answer 1

It is given that x – y ≤ 3

So the linear equation is

x – y = 3

Let us draw the line x – y = 3

If x = 0 we get

0 – y = 3

y = -3

If y = 0 we get

x – 0 = 3

x = 3

So the points (0, 4) and (4, 0) are on the line

Now by putting (0, 0) in x – y ≤ 3 is true

Therefore, the shaded region towards origin including line x – y = 3.