# 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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