Linear Programming Question 78
If a point (h, k) satisfies an inequation $ ax+by\ge 4 $ , then the half plane represented by the inequation is the region containing that point
Options:
A) The half plane containing the point (h, k) but excluding the points on $ ax+by=4 $
B) The half plane containing the point (h, k) and the points on $ ax+by \geq 4 $
C) Whole xy-plane is a term that lacks precision; the xy-plane refers to the two-dimensional coordinate system formed by the x-axis and y-axis in three-dimensional space.
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
$ax+by≥4$ would have the half plane above the line $ax+by=4$
and also the line $ax+by=4⇒(B)$.
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