1. Inequalities Intro to Algebra

2. Inequality Not equal….what else could it be? Less Than Greater Than

3. Reading an Inequality Statement We read math statements just like anything else (Left to Right) There are two signs; If you read the point (small part) first it means less than (<) If you read the open part (big part) first it means greater than (>)

4. Read these statements 1. x > 7 2. -8 > y 3. z < -2

5. 2 other inequalitites ≥ and ≤ The line underneath means it could be equal to also ≥ means greater than or equal to ≤ means less than or equal to

6. Graphing Inequalities To graph, it is best to have your variable on the left How do we switch it if it is on the right?

7. 19 > x You can switch the statement by just swapping the terms, but then you have to flip the inequality sign too. x < 19

8. Rewrite the statements to have the variable on the left. 1. -2 < x 2. 18 ≥ y 3. 0 ≤ a

9. Graphing an Inequality Once the variable is on the left we can start graphing. We will make a point on the number that is on the right. Our point will be open if the sign is Our point will be filled in if the sign is ≤ or ≥

10. Graphing Inequalities After our point is made, we will have to mark what direction we go from the point. Go in the direction the arrow points! Go right if the sign is > or ≥ Go left if the sign is < or ≤

11. Graph the Inequality x > 2

12. Graph the Inequality x ≥ -4

13. Graph the Inequality 0 ≤ a

14. Graph the Inequality 7 > b

15. Graph the Inequality c ≥ 3

16. Graph the Inequality 10 < y

17. Graph the Inequality x ≤ -3

18. Graph the Inequality x ≥ -8

19. We will also need to write an inequality for a give graph Write the variable on the left, and the number the dot is on on the right. Your arrow should go in the direction the shaded part is going. If the dot is filled in we put a line underneath the inequality sign.

20. Write an Inequality for the graph