Graph the two variable linear inequality

3x + 2y > 10.

Two variable linear inequality is,

3x + 2y > 10

) First change the inequality sign to equal and draw the boundary line.

If given inequality notation is > or < then draw the boundary line is dashed.

2) Choose test point that is not on the boundary line and check test point is solution of the given inequality or not.

3) Shade one side of the boundary line.

If test point is a solution of the given inequality then shade the part include the test point.

If test point is not solution of the inequality then shade the opposite part.

We have,

3x + 2y > 10

To draw the line we will convert inequality to linear equation.

3x + 2y = 10

Here we have given strict inequality so we will draw the dashed line.

The line divide the graph in to two parts one is 3x + 2y < 10 and other is 3x + 2y > 10.

Now using test point (0, 0) we get,

0 < 10 0 > 10

It means the test point not satisfies the inequality 3x + 2y > 10 so draw the opposite side part of the test point.

So graph of the 3x + 2y > 10 is,

Hence, graph of the two variable inequality 3x + 2y > 10 is,