Graph the solution sets of the following inequations:
x ≥ y - 2
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