Linear Programming Question 78
Question: If a point (h, k) satisfies an inequation $ ax+by\ge 4 $ , then the half plane represented by the inequation is
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=4 $
C) Whole xy-plane
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 $ax+by=4⇒(B)$.