16­18 absolute value inequalities day 1.notebook
April 25, 2014
LT 2b: I can solve and graph absolute value inequalities.
Graphing absolute value inequalities?
How do I solve absolute value inequalities?
lxl < 5 p.16
lxl ≥ 4
1. Rewrite the inequality without the absolute value sign.
2. Write again, but _____ the sign, and make it _______ .
3. Solve ______ inequalities.
4. ______ the solutions.
5. ______ the solutions.
|x ­ 20| > 5
Summary:
2|3 ­ 2x| ­ 10 ≤ 0
16­18 absolute value inequalities day 1.notebook
April 25, 2014
p.17
P p.17­18 (all)
CW p.17­18 (4,6,9,15)
For 1­4, find the absolute value.
1. |42|
2. |­6.3|
3. |2.94|
4. |­3/7|
For 5­15, solve the inequality and graph the solutions. (2 answers!)
5.
8.
|x| < 6
|3x + 4| < 5
6.
|2x| ≤ 12 9.
7.
|­2x| ≥ ­22
|2x ­ 5| ≥ 8 16­18 absolute value inequalities day 1.notebook
10.
12.
14.
|2x ­ 3| + 7 < 33
|x + 3| ­ 4 ≥ 20
3
4
|x ­ 8| < 24
April 25, 2014
11.
13.
15.
3|2x + 3| ≤ 18
3
| x ­ 7| ­ 8 > 3
4
p.18
16­18 absolute value inequalities day 1.notebook
IF Box 2
Solve and check.
4|3x + 9| ­ 5 = 19
April 25, 2014
Checking:
p.14­15
Solve and check.
|2x ­ 4| ­19 = ­19
16­18 absolute value inequalities day 1.notebook
p.14­15 answers
April 25, 2014
16­18 absolute value inequalities day 1.notebook
April 25, 2014
16­18 absolute value inequalities day 1.notebook
1­3
4­7
8­10
11­12
13­15
16­18
math
rocks
yes
really
April 25, 2014
2­3
5­7
8­10
11­12
math
rocks
yes
14­15 really
17­18
Test is next Thursday
16­18 absolute value inequalities day 1.notebook
April 25, 2014
LT 2b: I can solve and graph absolute value inequalities.
Graphing absolute value inequalities?
lxl < 5 p.16
lxl ≥ 4
16­18 absolute value inequalities day 1.notebook
April 25, 2014
LT 2b: I can solve and graph absolute value inequalities.
How do I solve absolute value inequalities?
p.16
0. Isolate the |abv|.
1. Rewrite the inequality without the absolute value sign.
NEGATIVE
FLIP
2. Write again, but _____ the sign, and make it _______ .
3. Solve ______ inequalities.
both
check
4. ______ the solutions.
5. ______ the solutions.
graph
|x ­ 20| > 5
2|3 ­ 2x| ­ 10 ≤ 0
16­18 absolute value inequalities day 1.notebook
Summary:
must have abv all by itself before Flip sign when x or ÷ BY a negative.
Two types of answers.
April 25, 2014
16­18 absolute value inequalities day 1.notebook
CW
P
April 25, 2014
p.17­18 (4,6,9,15)
p.17­18 (all)
SHOW WORK!
4.
answers
5.
x ≤ 6 and x ≥ ­6
9.
x ≥ 6.5 or x ≤ ­1.5
15.
#7
3/7
a ≥ 1 and a ≤ 5
16­18 absolute value inequalities day 1.notebook
April 25, 2014
16­18 absolute value inequalities day 1.notebook
April 25, 2014
Attachments
Two­step inequalities.pdf