1. Algebra Bell-work 9/13/17 Turn in your HW! 1.) 7x – 6 = 2x + 9
2.) -2x > 10 (Check your answer!)

2. 1-6: Solving Multi-step Inequalities
Rules for solving inequalities:
1.) Solve same way as a regular equation, but your answer is more of a solution set. (You can have more than one answer that makes the inequality true.)
2.) Graph the solution on a number line:

3. 1-6: Solving Multi-step Inequalities
2.) Graphing the solution on a number line:

4. 1) Solve 5m - 8 > 12 + 8 + 8 5m > 20 5 5 m > 4 5(4) – 8 = 12
5m > 20
m > 4
5(4) – 8 = 12 o 4 5 3

5. 2) Solve 12 - 3a > 18 - 12 - 12 -3a > 6 -3 -3 a < -2
-3a > 6
a < -2
12 - 3(-2) = 18 o -2 -1 -3

6. Which graph shows the solution to 2x - 10 ≥ 4?.

7. 4) Solve 2r - 18 ≤ 5r + 3 ● -2r -2r -18 ≤ 3r + 3 - 3 - 3 -21 ≤ 3r 3 3
-21 ≤ 3r
-7 ≤ r or r ≥ -7
2(-7) – 18 = 5(-7) + 3 ● -7 -6 -8

8. 5) Solve

9. Special Case #1 3x + 4 > 2(x + 3) + x 3x + 4 > 2x + 6 + x
Distribute
Combine like terms
Get variable on same side
True or false?
3x + 4 > 2(x + 3) + x
3x + 4 > 2x x
3x + 4 > 3x + 6
-3x x
4 > 6
This statement is FALSE:
No Solution

10. Special Case #2 3 – 3(y – 2) < 13 – 3(y – 6)
Distribute
Combine like terms
Get variable on same side
True or false?
3 – 3(y – 2) < 13 – 3(y – 6)
3 – 3y + 6 < 13 – 3y + 18
-3y + 9 < -3y + 31
+3y y
9 < 31
This statement is TRUE:
All Real Solutions