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  • Solve the following system of inequalities graphically: 2x + y greater than or equal to 8, x + 2y greater than or equal to 10

Solve the following system of inequalities graphically:

    Q7.    2x + y \geq 8 , x + 2y \geq 10

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2x + y \geq 8 , x + 2y \geq 10

Graphical representation of  2x + y = 8\, \, and\, \, x + 2y =10  is given in graph below.

For  2x + y \geq 8 ,

The  solution to this inequality is region above line (2x + y = 8)  including points on this line because  points on line also satisfy the inequality.

 For     x + 2y \geq 10 ,

The  solution to this inequality is region above  the line  ( x + 2y =10)  including points on this line because  points on line also satisfy the inequality.

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

This can be represented as follows: 

Posted by

seema garhwal

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