Linear Programming Question 9
The true statement for the graph of the inequalities $ 3x+2y\le 6 $ and $ 6x+4y\ge 20 $ is
Options:
A) Both graphs 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 equations are parallel.
Hence the graphs are disconnected.
 BETA
  BETA 
             
             
           
           
           
          