Solve the following system of inequalities graphically:

    Q1.    x \geq 3,\ y\geq 2

Answers (1)
S seema garhwal

x \geq 3,\ y\geq 2

Graphical representation of  x=3 and  y=2  is given in the graph below.

The line x=3 and y=2 divides plot in four regions i.e.I,II,III,IV.

For x \geq 3 ,

The  solution to this inequality is region  II and  III including points on this line because points on the line also satisfy the inequality.

 For y \geq 2,

The solution to this inequality is region  IV and  III including points on this line because points on the line also satisfy the inequality.

 

Hence, solution to  x \geq 3,\ y\geq 2 is common region of graph i.e. region III.

Thus, solution of x \geq 3,\ y\geq 2 is region III.

This can be represented as follows: 

The below green colour represents the solution

 

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