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Solve the following system of inequalities graphically:

    Q5.        2x - y > 1, \ x -2y < -1

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2x - y > 1, \ x -2y < -1

Graphical representation of  x -2y =-1\, \, and\, \, 2x -y=1  is given in graph below.

For  2x - y > 1,

The  solution to this inequality is region below  line ( 2x -y=1) excluding points on this line because  points on line does not  satisfy the inequality.

 For     \ x -2y < -1 ,

The  solution to this inequality is region above  the line  (x -2y =-1) excluding points on this line because  points on line does not  satisfy the inequality.

Hence, solution to these linear inequalities is shaded region as shown in figure excluding points on the lines.

This can be represented as follows: 

 

 

Posted by

seema garhwal

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