Chapter 1 Section 5
Prerequisites for Calculus

Solving Equations and Inequalities Graphically
Zoom→trap the x-intercept.
 

Absolute Value
Solve |2x-4| = 8 algebraically
2x-4=8    or    2x-4= -8
x = 5    or    x = -2

Relation between Intervals and Absolute Value
|a| < D if -D<a<D
|a| > D if a < -D or a > D

Ex:  |3x-5|<7
-7<3x-5<7
-2<3x<12
-2/3<x<4

Ex: |5x+4|>9
5x+4>9 or 5x+4> -9
5x > 5 or 5x > -15
x > 1 or x > -3