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  • Solve the following system of inequalities graphically: x + y less than or equal to 6, x + y greater then or equal to 4

Solve the following system of inequalities graphically:

    Q6.    x + y \leq 6, x + y \geq 4

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x + y \leq 6, x + y \geq 4

Graphical representation of  x + y = 6,\, \, and\, \, \, x + y = 4  is given in the graph below.

For  x + y \leq 6,

The  solution to this inequality is region below  line ( x+y=6) including points on this line because points on the line also satisfy the inequality.

 For     x + y \geq 4 ,

The  solution to this inequality is region above  the line  ( x+y=4) including points on this line because points on the line also satisfy the inequality.

Hence, the 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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