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Solve the following inequality graphically in two-dimensional plane:

    Q1.    x + y < 5

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Graphical representation of  x+y=5 is given in the graph below.

The line x+y=5 divides plot in two half planes.

Select a point (not on line x+y=5) which lie in one of the half planes, to determine whether the point satisfies the inequality.

Let there be a  point (1,2)

We observe 

                1+2< 5    i.e. 3< 5  , which is true.

Therefore, half plane (above the line) is not a solution region of given inequality i.e. x + y < 5.

Also, the point on the line does not satisfy the inequality.

Thus, the solution to this inequality is half plane below the line x+y=5 excluding points on this line represented by the green part.

This can be represented as follows: 

 

Posted by

seema garhwal

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