Linear Programming Question 48

Question: The true statement for the graph of inequations $ 3x+2y\le 6 $ and $ 6x+4y\ge 20 $ , is

Options:

A) Both graphs are disjoint

B) Both do not contain origin

C) Both contain point (1, 1)

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

The equations, corresponding to inequalities $ 3x+2y\le 6 $ and $ 6x+4y\ge 20 $ , are $ 3x+2y=6 $ and $ 6x+4y=20 $ .

So the lines represented by these equations are parallel. Hence the graphs are disjoint.