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  • Solve the following inequality graphically in two-dimensional plane: minus 3x + 2y greater than or equal to - 6

Solve the following inequality graphically in two-dimensional plane:

    Q7.    -3x + 2y \geq -6

Answers (1)

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-3x + 2y \geq -6

Graphical representation of  -3x + 2y = -6 is given in the graph below.

The line -3x + 2y = -6 divides plot in two half planes.

Select a point (not on the line -3x + 2y = -6) 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 

                -3+4\geq -6    i.e. 1\geq -6  , which is true.

Therefore, half plane II  is not solution region of given inequality i.e. -3x + 2y \geq -6.

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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