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in Linear Equations by (15.9k points)
Solve the given inequality 3x + 2y > 6 graphically in two – dimensional plane.

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1 Answer

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by (15.3k points)

The graphical representation of is given by blue dotted line in the figure below. 

This lines divides x-y plane into two parts . 

Select a point (not on the line),which lies on one of the two parts, to determine whether the point satisfies the given inequality or not. 

We select the point as (0,0) 

It is observed that Therefore, 0 + 0 > 6  or > 6 which is false.

the solution for the given inequality excluding the points on the line. This can be represented as follows,

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