Day 4

 Daily objective- Students will be able to graph linear inequalities.


Definition- Taking a linear inequality and transferring the correct information and apply it to a properly formatted  graph to show given and sometimes un-given information.


What is a inequality?
        - A inequality is "When the two expressions are connected by 'greater than' or 'less than' sign, we get an inequality."

EXAMPLE- When operating in terms of real numbers, linear inequalities are the ones written in the forms

 or ,

How to graph the equation of a linear inequality

To understand how to graph the equations of linear inequalities such y ≥ x + 1, make sure that you have a good understanding of how to graph the equation of a line in slope intercept form.

A linear inequality is describes an area of the coordinate plane that has a boundary line. Every point in that region is a solution of the inequality.

VERY SIMPLE!!

STEP 1-Graph it as if its an equality
STEP 2- Look at the sign, less than you shade below the line, grater than you shade the area above the line the line.

EXAMPLE-

 In this case the line was shaded below the line because the equation has a less then inequality.

QUIZ!!!

1.)What is the equation 
of the line on the left?

2.)Now, what does the graph of y > x +3 look like?

3.)What would the graph of y ≤ -x + 1 look like?

ANSWER KEY

1.)Y=X+3

2.)

         

               

3.)

For another great way of looking at this, check out this video!

http://www.youtube.com/watch?v=kLfgjxmtfm8&sns=em