Given x ≥ y - 2

⇒ y≤x + 2

Consider the equation y = x + 2

Finding points on the coordinate axes:

If x = 0, the y value is 2 i.e, y = 2

⇒ the point on the Y axis is A(0,2)

If y = 0, 0 = x + 2

⇒x = - 2

The point on the X axis is B( - 2,0)

Plotting the points on the graph: fig. 5a

Now consider the inequality y≤x + 2

Here we need the y value less than or equal to x + 2

⇒ the required region is below point A.

Therefore the graph of the inequation x ≥ y - 2 is fig. 5b

fig 5a

Fig 5b