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Solve the following inequality graphically in two-dimensional plane:

    Q8.    3y - 5x < 30

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3y - 5x < 30

Graphical representation of  3y - 5x =30 is given in graph below.

The line 3y - 5x =30 divides plot in two half planes.

Select a point (not on the line 3y - 5x =30) which lie in one of the half plane , to detemine whether the point satisfies the inequality.

Let there be a  point (1,2)

We observe 

                6-5< 30    i.e. 1< 30  , which is true.

Therefore, half plane II  is not solution region of given inequality i.e.  3y - 5x < 30.

Also point on the line does not satisfy the inequality.

Thus, solution to this inequality is half plane I excluding points on this line, represented by green colour.

This can be represented as follows: 

Posted by

seema garhwal

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