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Get Answers to all your Questions
Solve the following inequality graphically in two-dimensional plane:
Q3.
Answers (1)
Graphical representation of is given in the graph below.
The line divides plot into two half-planes.
Select a point (not on the line ) which lie in one of the half-planes, to determine whether the point satisfies the inequality.
Let there be a point
We observe
i.e.
, which is true.
Therefore, the half plane I(above the line) is not a solution region of given inequality i.e. .
Also, the point on the line does satisfy the inequality.
Thus, the solution to this inequality is half plane II (below the line ) including points on this line, represented by green colour.
This can be represented as follows:
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