Solve the following systems of inequalities graphically:

$x \geq 3, y \geq 2$

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Solution

The given inequality is $x \geq 3$ .

Draw the graph of the line x =3.

Putting (0,0) in the given inequation, we have $0 \geq 3$ which is false.

$∴$ Half plane of $x \geq 3$ is away from origin.

Also the given inequality is $y \geq 2$ .

Draw the graph of the line y =3.

Putting (0,0) in the given inequation, we have $0 \geq 2$ which is false.

$∴$ Half plane of $y \geq 2$ is away from origin.

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