1. Daily Check Solve and Graph on a Number Line
|8x + 5| < and |-2x + 4| > 24

2. Math II Day 46 ( )
Standard MM2A1.a
Write absolute value functions as piecewise functions.
Today’s Question:
How do we graph BIG absolute value equations on a number line?

3. Ex: Solve & graph. |2x + 6| ≥ 24 and 2x + 6 ≥ -24 2x + 6 ≤ 24
Flip the sign and make it negative
|2x + 6| ≥ 24
Splits to become two small problems
and 2x + 6 ≥ -24
2x + 6 ≤ 24
and 2x ≥ -30
2x ≤ 18
and x ≥ -15
x ≤ 9

4. Multiply or divide by a negative
The sign and the inequality flip
|-2x – 6| ≤ 14
-2x – 6 ≤ and -2x – 6 ≥ -14
-2x ≤ and -2x ≥ -8
x ≥ and x ≤ 4

5. NOW FOR TODAY’S NEW STUFF

6. Solve & graph. Get absolute value by itself first.
Split into two small problems and solve

7. Solve & graph.
2|3x-1| + 6 > 22

8. Your Turn: Solve & graph.
2|-2x+4| + 8 > 14

9. Your Turn: Solve & graph.
-5|6 – 2x| -4 ≤ 26

10. Worksheet Time