question_answer

The graph of the inequality \[3x+\text{4}y<12\] is

A) half plane that contains the origin

B) half plane that neither contains the origin nor the points of the line \[3x+4y=12\].

C) Whole XOY-plane excluding the points on line \[3x+4y=12\]

D) None of these.

Correct Answer: D

Solution :

From the graph of \[3x+4y<12\] it is clear that it contains the origin but not the points on the line \[3x+4y=12\].