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Master solving absolute value equations and finding the Union and Intersection of sets with step-by-step examples and practice exercises. Explore Venn diagrams and check your solutions graphically.
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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 • 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
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