Linear Programming Question 9

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

Options:

A) Both graph are disjoint

B) Both contain (0, 3)

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 equation are parallel.

Hence the graphs are disjoint.