Prec Calc 11 Week 11

This week in Pre Calculus 11 we learned about Graphing Linear Inequalities in two variables. The solutions to these inequalities are represented by a boundary line and shading one side of the line.

For example:

3x-2y>4

The first step is to have the x and y variables on different sides of the greater or equal sign. And we can move the four over to the same side as the x variable/

3x-4>2y

Now we need to make the y variable equal to 1 y, so we need to divide everything by 2

Now we have:

Now we can graph this

Now we have to figure out which side to shade in. We can do this by choosing any coordinate (the best is 0,0) and seeing if the statement is true or false.

-2>0

seeing that -2 is obviously not greater than 0, we know that this is false so we shade the side that (0,0) is not on

Now if the equation was great or equal to the dash line would become a solid line because any coordinate on the line would also be a solution.

Like this