Question

If a point (h,k) satisfies an inequation ax + by > 4, then the half plane represented by the inequation is

• A. The half plane contacting the point (h,k) but excluding the point on ax + by =4
• B. The half plane contacting the point (h , k) and the points on ax +by =4
• C. Whole xy-plane
• D. None of these

Answer 1

Answer: (B)

The half plane contacting the point (h , k) and the points on ax +by =4

$ax+by\ge 4$ would have the half plane above the line $ax+by=4$ and also the line $ax+by=4$

$\Rightarrow \left(B\right)$.