1. Solving Inequalities

2. What is an inequality?  Better known as “pac-man’s”  Compares the left side to the right side.  Four different inequality symbols:  < less than  > greater than  ≤ less than or equal to  ≥ Greater than or equal to  Pac man eats the larger side so you can easily remember which symbol is which.

3. How do I solve equations with them?  Solve them just like regular equations. 1. Distribute 2. Move plain numbers to the right 3. Move variables to the left 4. Solve.  KEEP YOUR INEQUALITY CORRECT!!  Adding or subtracting will not change your symbol.  If you multiply or divide by a negative number you MUST flip your inequality.

4. Example 1 Solve Answer: m ≥ 3

5. Example 2 Solve

6. Example 3 Solve

7. Example 4 Solve

8. Example 5 Solve

9. Example 6 Solve 7 + 3r ≤ 2(r+3) – 2(-1 – r)

10. Example 7 Solve 3y + 4 > 2(y+3) + y

11. What do their graphs look like?  Back to the number line…  Create your number line with at least three numbers on it  Decide if it should be an open or closed dot  > or < open dot  ≥ or ≤ closed dot  Figure out which way your arrow should go.  Pac man eats the variable, shade right.  Pac man eats the number, shade left.

12. Graph Example 1 solution