Answer :

Given x + y 4

y 4 - x

Consider the equation y = 4 - x.

Finding points on the coordinate axes:

If x = 0, the y value is 4 i.e, y = 4

the point on the Y axis is A(0,4)

If y = 0, 0 = 4 - x

x = 4

The point on the X axis is B(4,0)

Plotting the points on the graph: fig. 1a

Now consider the inequality y 4 - x

Here we need the y value greater than or equal to 4 - x

the required region is above point A.

Therefore the graph of the inequation x + y 4 is fig. 1b

Fig 1a

Fig 1b

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