MCQ

The solution set of the inequation 2*x* + *y* > 5 is

#### Options

half plane that contains the origin

open half plane not containing the origin

whole

*xy*-plane except the points lying on the line 2*x*+*y*= 5none of these

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#### Solution

open half plane not containing the origin

On putting *x* = 0, *y* = 0 in the given inequality, we get

0 > 5, which is absurd.

Therefore, the solution set of the given inequality does not include the origin.

Thus, the solution set of the given inequality consists of the open half plane not containing the origin .

Concept: Introduction of Linear Programming

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