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Question

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


  1. open half plane not containing the origin

  2. half plane that contains the origin

  3. whole xy-plane except the points lying on the line 2x + y = 5.

  4. points on line


Solution

The correct option is A

open half plane not containing the origin


Consider the following figure:

Thus the solution set is the open half plane not containing the origin.

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