Question

Consider the following statements
Statement I If an inequality is of type $ax+by\ge c$ or $ax+by\le c$, then the points on the line are not to be included in the solution region.
Statement II If an inequality is of the form $ax+by>c$ or $ax+by<c$, then the points on the line $ax+by=c$ are not to be included in the solution region.
Choose the correct option.

• A. Statement $I$ is true
• B. Statement II is true
• C. Both are true
• D. Both are false

Answer 1

Answer: (B)

I. If an inequality is of the type $ax+by\ge c$ or $ax+by\le c$, then the points on the line $ax+by=c$ are also included in the solutions region. So, draw a dark line in the solution region.
II. If an inequality is of the form $ax+by>c$ or $ax+by<c$, then the points on the line $ax+by=c$ are not to be included in the solution region. So, draw a broken or dotted line in the solution region. As shown in question 89.