Show that the solution set of the system of inequalities is an unbounded set. y - 3x 3, 2y + 3x - 6

CBSE Class 11-science Answered

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 | 30 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 | 30 Apr, 2014, 01:22: PM

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