absolute value inequalities steps: 1.get absolute value alone 2.write two inequalities 3.solve for...
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Absolute Value InequalitiesSteps:1. Get absolute value alone2. Write two inequalities3. Solve for the variable4. Graph the solution set and
write in proper form
3x#1:
Page 3
3x 3x
First inequality looks like original without absolute value symbol!
Second inequality, you switch the inequality and negate the side opposite the absolute value symbol. Also, drop the absolute value symbol.
Now graph solution: on number line.
3 3
Determine:1. Open or closed circles2. Direction of line
33 x
Page 3
42
p
#4:
42
p
42
p
242
2 p
8p
242
2 p
8p
8 8
8p OR 8p
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53 y#8:
3 3
2y
2y 2y
2 2
22 y
Page 3
23
5
x#14:
23
5
x2
3
5
x
323
53
x
65 x5 5
1x
323
53
x
65 x5 5
11x
11 1
111 x
432 d#17:
432 d 432 d2 2
23 d3 3
3
2d
2 263 d
3 3
2d
23
2
2d OR 3
2d
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82 x#21:
Page 3
82 x 82 x2 2
6 x1 1
6x
2 210 x
1 110x
6 10
6x OR 10x
When dividing by a negative, you switch the inequality!
Homework
• Page 3
#5,6,9,12,15,18