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Solve the following inequality graphically in two-dimensional plane:

    Q5.    x - y \leq 2

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best_answer

x - y \leq 2

Graphical representation of  x - y =2 is given in the graph below.

The line x - y =2  divides plot in two half planes.

Select a point (not on the line x - y =2) 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\leq 2    i.e. -1\leq 2  , which is true.

Therefore, half plane Ii is not solution region of given inequality i.e. x - y \leq 2.

Also, the point on the line does satisfy the inequality.

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

This can be represented as follows: 

 

Posted by

seema garhwal

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