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Question
The solution set of the inequation 2x + 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 2x + y = 5
none of these
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 .
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