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Linear Programming — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsLinear Programming1 Mark
MCQ
The solution set of the inequation 2x + y > 5 is:
  • A
    half plane that contains the origin
  • B
    open half plane not containing the origin
  • C
    whole xy-plane except the points lying on the line 2x + y = 5
  • D
    none of these
✓

Answer

  1. open half plane not containing the origin

Solution:

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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