1. Bellringer (7 minutes)
What should the graph look like for the following inequality?
x + 12 ≤ – 3
Solve the inequality. (You do not have to simplify.)
1 3 x – 8 > 5 – 2x

2. Algebra 1
August 30 & 31, 2018

3. announcements Monday: No school (Labor Day)
You will have a quiz on Thursday, September 6th

4. Last class
We talked about how solving inequalities was very similar to solving equations
How the inequality symbol can be flipped by multiplying or dividing by a negative number
Did anyone have any questions on that?
So, now let’s see what happens when you combine inequalities…

5. Compound inequalities
These are literally two different inequalities solved and/or graphed on the same line
With most compound inequalities, there’s good news and bad news
For most of these inequalities, you will be doing the exact same steps regardless of which side you’re solving first (good news)
The graphs are done on the same line, so you will have to figure out if there is overlap or not (bad news)

6. Compound inequalities example
Solve the following linear inequality:
1 ≤ x + 5 < 7

7. Compound inequalities example
Solve the following linear inequality:
5x – 3 < 7 or x + 2 > 13
This one has been pre-split…
So just solve each side normally.

8. Compound inequalities example
Solve the following linear inequality:
1 ≤ 2 7 x + 5 < 7

9. Compound inequalities
Solve the following linear inequality:
– 3 < 1 3 x + 2 < 5

10. Compound inequalities
Solve the following linear inequality:
2x – 3 < 7 or 4x – 11 > 13

11. Literal equations
These are equations where the answer is in terms of another variable or letter
Your answer will always have a variable!

12. Literal equation examples
Solve for x:
3x + 5y = z
Solve for r:
A = πr2