Chapter 2.7 Solving Absolute­Value Inequalities.notebook
September 20, 2016
Bellwork:
1)
2)
Homework Questions???
3)
Solve and Graph the following inequalities:
4) 2x < 8 or 3x ­ 5 < 17
5) Sep 15­4:18 PM
Sep 15­4:22 PM
Solve the following absolute value inequalities:
Chapter 2.7(b) Solving Absolute­Value Inequalities
a. b.
Solve inequalities in one variable involving absolute value expressions.
c. Sep 15­4:23 PM
Sep 15­4:24 PM
Solving Absolute­Value Inequalities Involving less than: Absolute­Value Inequalities involving < or ≤
Words
Numbers
The inequality x < a (when a > 0) asks, "What values of x have an absolute value less than a?" The solution are numbers between ­a and a.
x < 5
­5 < x < 5
x > ­5 and x < 5
Graph
Algebra
x < a (when a > 0)
­a < x < a
x > ­a and x < a
Sep 15­4:34 PM
Solve each inequality and graph:
1)
2) Sep 15­4:42 PM
1
Chapter 2.7 Solving Absolute­Value Inequalities.notebook
September 20, 2016
Solving Absolute­Value Inequalities Involving Greater Than
Solve the following inequalities and graph the solutions.
Absolute­Value Inequalities Involving > or ≥
Words
Numbers
The inequality x > a (when a > 0) asks, "What values of x have an absolute value greater than a?" The solution are numbers less than ­a and greater than a.
x > 5
Graph
3)
x < ­5 or x > 5
Algebra
x > a (when a > 0)
4) x < ­a and x > a
Sep 15­4:47 PM
Sep 15­4:52 PM
Solve the following inequalities:
Special Cases of Absolute­Value Inequalities:
7)
5)
8)
6)
9)
Sep 15­4:54 PM
Absolute Value Equations with a less than sign can be rewritten as compound inequalities containing the word ________.
Absolute Value Equations with a greater than sign can be rewritten as compound inequalities containing the word ________.
Sep 15­5:01 PM
Sep 15­4:57 PM
Homework:
P. 145­147 # 1­11, 15­37, 39­47 (odds)
Sep 15­5:03 PM
2
Chapter 2.7 Solving Absolute­Value Inequalities.notebook
September 20, 2016
Sep 15­5:05 PM
3