Show that the solution set of the system of inequalities is an unbounded set.


  y - 3x  greater or equal than 3, 2y + 3x less or equal than - 6

Asked by Topperlearning User | 30th Apr, 2014, 11:22: AM

Expert Answer:

We draw the graph of the linear equations y - 3x = 3 and 2y + 3x = -6 first.     

Now region coloured in red will show the inequality 2y + 3x -6 and region in green will represent the inequality y - 3x  3.                     

The doubly shaded region will be the required region which is clearly unbounded.            

Answered by  | 30th Apr, 2014, 01:22: PM