Download Absolute Value Equations and Inequalities

Standards: E.A.- 1.6, E.A.- 4.8
Objectives
1.solve equations involving absolute value
2.Find the Union and Intersection of two sets
Key terms
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Absolute Value
Symbol: | |
Sets
Union
Intersection
Venn diagram
Examples
|x| = 8
Meaning : X = 8 or X = -8
|3a+5| = 6
Meaning : 3a + 5 = 6 or 3a + 5 = -6
Create your own
Example 1
• Solve the problem for X and graph
the solution and check the solution.
|X| + 3 = 10
Example 2
• Solve the problem for p and graph
the solution and check the solution
|p+2| = 7
Example 3
• What are the solutions of |12x+6|= 42
Example 4
• Solve the equation
3|y| + 8 = 17
Example 5
• |5x|+7 = 3
• Absolute value can never be
negative
Definition of Union
All the numbers in all
the sets.
Example
{1, 2, 3, 4, 5, 7, 9}
Definition of Union
All the numbers in all
the sets.
Example
{1, 2, 3, 4, 5, 7, 9}
Definition of
Example
Intersection
The numbers that the {1, 3, 5}
sets have in common.
Find the Union of Sets U and B.
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 20, 25, 30, 35, 40}
Class work
Foundations : Pg 224 -225
1 thru 28 all problems
Pg 234
1 thru 4, 11 thru 19
Common core: Pg 210-211
1 thru 28
Pg 218
1 thru 4 and 11 thru 19