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CBSE Class 11-science Answered

Find the vertices of the figure enclosing the region represented by the following system of inequalities.                                                                                                                                              7x + 10y less or equal than 70                    3x + y less or equal than 18                    x greater or equal than 0, y greater or equal than 1.
Asked by Topperlearning User | 30 Apr, 2014, 12:38: PM
answered-by-expert Expert Answer

We first draw the graphs of the linear equations 7x + 10y = 70,

3x + y = 18 and y = 1.

 

 

The region which represents the inequality 7x + 10y 70 is containing the origin.

The region which represents the inequality 3x + y  18 is also containing the origin.

The region which represents the inequality y  1 is the region away from origin i.e on the right side of line y = 1 and of course x  0 is the region on the right side of y axis.

 

Hence the common region is given by ABCD and the vertices are A (0, 1), B(0, 7) C, D

 

Answered by | 30 Apr, 2014, 14:38: PM

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