Q28 of 51 Page 6

Represent the following inequalities graphically in a two dimensional plane. 2x + y > 6


We draw the graph of the equation

2x + y = 6 ...(i)


Putting x = 0, y = 6, therefore the point on y-axis is (0, 6) and the point on x-axis is (3, 0). AB is the graph of (i).


Putting x = 0, y = 0 in the given inequality, we have 2(0) + 0 ≥ 6 or 0 ≥ 6, which is false.

Hence, origin does not lie in the half plane region I.


Clearly, any point on the line satisfy the given inequality.

Hence, the shaded region II including the points on the line is the solution region of the inequality.

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