In Week 11 of Pre- Calc we learned how to graph linear inequalities in 1 or 2 variables using number lines.

To graph a linear inequality in two variables, identify the slope and the y-intercept by making it into the form of y = mx + b.

Example

-8<3x-y

change the inequality so the y is seperated. y<3x+8

The slope is 3 and the y-intercept is 8.

Now all we have to do is find the solution that maked the equation true. One of the easiest test solutions would be (0,0), so we plug in those numbers in y and x to find if its true.

0<3(0)+8

0<8

That solution is true so we have to shade in the side that gives us the right solutions.

*every point on the shaded side can be a solution.

This graph has a broken line because the < is not underlined, meaning that there can’t be a solution on the line but if it were to be underlined then there can be solutions on the line.