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Q: Solve the following inequality graphically in two-dimensional plane:  y + 8 \geq 2x

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best_answer

y + 8 \geq 2x

Graphical representation of  y + 8 = 2x is given in the graph below.

The line y + 8 = 2x  divides plot in two half-planes.

Select a point (not on the line y + 8 = 2x) 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 2+8\geq 2\times 1    i.e. 10\geq 2  , which is true.

Therefore, half plane II is not solution region of given inequality i.e. y + 8 \geq 2x.

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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