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 $ax+by=4⇒(B)$.