1. Warm Up. Graph the solution set to each inequality:

2. Inequalities
Objective: By the end of today’s lesson, you will be able find and display all of the solutions to any complex inequality

3. We can solve inequalities just like equations, with one exception.

6. What happened?

7. Take any true inequality
Here is what happens?
Take any true inequality
Add the same thing to each side…
and the inequality remains true!

8. Take any true inequality
Subtract the same thing from each side…
and the inequality remains true!

9. Take any true inequality
Multiply each side by a positive number…
and the inequality remains true!

10. Take any true inequality
Divide each side by a positive number…
and the inequality remains true!

11. But, take any true inequality
And divide each side by a negative number…
and the inequality gets reversed

12. Or take any true inequality
And multiply each side by a negative number…
and the inequality also gets reversed!

13. If, in the process of solving an inequality, you have to multiply or divide both sides of the inequality by a NEGATIVE number, you must simultaneously reverse the inequality sign.

14. Graph and check the inequality

16. Graph and check the inequality

18. Homework
Solve and Graph each of the following inequalities: