1. Flashback
The lead of a screw is the distance that the screw advances in a straight line when the screw is turned 1 complete turn. If a screw is 2  inches long and has a lead of   inch, how many complete turns would get it all the way into a piece of wood?
A.   5 B.  C. 15 D.  E. 25
If xy = 144, x + y = 30, and x > y, what is the value of x – y ?
F.   4 G.    H. 18 J.  K. 24

2. 6 out of 5 people have difficulty with fractions.
Joke of the day
6 out of 5 people have difficulty with fractions.

4. Solving Absolute Value Inequalities
For < inequalities:
Separate the value after the inequality into positive and negative values.
Remove the absolute value bars and place the expression between the negative and positive values. Solve.

5. Example
|x – 4| < 8
-8 < x – 4 < 8

6. Solving > absolute value inequalities
Separate the value after the inequality into positive and negative values.
Then put expression inside absolute value < the negative value. Put the expression inside the absolute value > the positive value.

7. Example
| 3x – 2| > 5 3x – 2 ≤ -5 or 3x – 2 ≥ 5

8. What about quadratics?
Solve the inequality as if it is an equation, and find the zeroes.
Use the graph to see where the equation has positive values for >, negative values for <

9. Example X2 – x – 12 > 0 Solve X2 – x – 12 = 0
Look at the graph. Graph is positive from - 3 to -∞ and from 4 to ∞

10. Example 2
X2 + 2x + 2 < 0

11. Cubics!
x3 + 2x2 – 1 ≥ 0

12. Practical application!!!
Projectile motion s = -16t2 + v0 + s0
V0 is initial velocity, S0 is initial position
p. 63 initial velocity of 288 ft/sec, launched from ground

13. p. 63 initial velocity of 288 ft/sec, launched from ground
When will s= 1152 ft?
When will s be at least 1152 ft?

14. Homework 
P. 64 Ex odd, 27, 29, 33, 34

15. Exit Slip
Solve x2 – 4x < 1 graphically.