1. Inequalities
Ch. 2.14
EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

2. Bell Work
Make sure you have paper ready for notes!! Monday and Tuesday will be new material. Wednesday will be review for unit test. Thursday/Friday will be Test!!!
EQ: How can you solve and graph inequalities?
I will solve and graph inequalities.

3. Solving Inequalities
Solving inequalities follows the same procedures as solving equations.
There are a few special things to
consider with inequalities:
We need to look carefully at the inequality sign.
We also need to graph the solution set.

4. Review of Inequality Signs
> greater than
< less than
greater than or equal
less than or equal

5. How to graph the solutions
> Graph any number greater than. . .
open circle, line to the right
< Graph any number less than. . .
open circle, line to the left
Graph any number greater than or equal to. . .
closed circle, line to the right
Graph any number less than or equal to. . .
closed circle, line to the left

6. Solve the inequality: Subtract 4 from each side. x + 4 < 7
x < 3
Subtract 4 from each side.
Keep the same inequality sign.
Graph the solution.
Open circle, line to the left. 3

7. There is one special case.
Sometimes you may have to reverse the direction of the inequality sign!!
That only happens when you
multiply or divide both sides of the inequality by a negative number.

8. -3y > 18 Example: Solve: -3y + 5 >23 Subtract 5 from each side.
-3y > 18
y < -6
Subtract 5 from each side.
Divide each side by negative 3.
Reverse the inequality sign.
Graph the solution.
Open circle, line to the left. -6

9. Writing an inequality from a sentence
EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

10. Writing an inequality from a sentence
EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

11. Writing an inequality from a sentence
EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

12. Writing an inequality from a sentence
EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

13. Writing an inequality from a sentence
EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

14. Solving inequalities with a variable on one side
What is the solution? Graph it.
¿Cuál es la solución? El gráfico lo
EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

15. Solving inequalities with a variable on one side
Now you try... What is the solution? Graph it. ¿Cuál es la solución? El gráfico lo
EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

16. Solving inequalities with a variable on one side
What is the solution? Graph it. ¿Cuál es la solución? El gráfico lo
EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

17. Solving inequalities with a variable on one side
Now you try… Find the solution and graph it. Ahora tratas de... Encontrar la solución y lo gráfico
EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

18. Solving inequalities with a variable on one side
Solve and graph the inequality
EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

19. Solving inequalities with a variable on one side
Now you try…
EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

20. Exit Ticket: Solve 2x+3>x+5 Solve - c - 11>23
Solve 3(r-2)<2r+4

21. Exit Ticket:
A movie rental company offers two subscription plans. You can pay $36 a month and rent as many movies as desired, or you can pay $15 a month and $1.50 to rent each movie. How many movies must you rent in a month for the first plan to cost less than the second plan?
EQ: How can you solve and graph inequalities? I will solve and graph inequalities.