The feasible region associated with the inequality \(2x + 3y \gt 4\) is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Open half plane not containing the origin
The boundary line is \(2x + 3y = 4\). The inequality is strict (>), so the points of the line are not included and the region is an open half plane.
Testing the origin:
\(2(0) + 3(0) = 0\)
Since 0 is not greater than 4, the origin does not lie in the region. So the region is the open half plane not containing the origin.