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3-8 Unions and Intersections of Sets

3-8 Unions and Intersections of Sets. Objective: To find union and intersection of sets. 3-8 Unions and Intersections of Sets. On page 214 Solve the Get Ready! www.pearsonsuccessnet.com. 3-8 Unions and Intersections of Sets.

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3-8 Unions and Intersections of Sets

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  1. 3-8 Unions and Intersections of Sets Objective: To find union and intersection of sets.

  2. 3-8 Unions and Intersections of Sets • On page 214 Solve the Get Ready! • www.pearsonsuccessnet.com

  3. 3-8 Unions and Intersections of Sets • The union of two or more sets is the set that contains ALL elements of the sets. • The symbol for union is  • To find the union of two sets. List the elements that are in either set or in both sets (no need to repeat elements). • An element is in the union if it belongs to at least one of the sets.

  4. 3-8 Unions and Intersections of Sets • Example 1: Page 215 In your left pocket you have a quarter, a paper clip, and a key. In your right pocket, you have a penny, a quarter, a pencil, and a marble. What is a set that represents the different items in your pockets?

  5. 3-8 Unions and Intersections of Sets • Example 1: In your left pocket you have a quarter, a paper clip, and a key. In your right pocket, you have a penny, a quarter, a pencil, and a marble. What is a set that represents the different items in your pockets? • Step 1: Write sets for each pocket: • Step 2: Write the union L  R

  6. 3-8 Unions and Intersections of Sets • Intersection of two or more sets is the set of elements that are common to every set. An element is in the intersection if it belongs to ALL the sets. • The symbol for intersection is  • When you find the intersection of two sets, list only the elemnets that are in BOTH sets.

  7. 3-8 Unions and Intersections of Sets • Disjoint sets have no elements in common. • The intersection of a disjoint sets is ? • Empty set { }

  8. 3-8 Unions and Intersections of Sets • PROBLEM 2: • Set X = {x| x is a natural number less than 19} • Set Y = {y| y is an odd integer} • and set Z = {z| z is a multiple of 6} • What is X  Z? • What is Y  Z?

  9. 3-8 Unions and Intersections of Sets • Problem 3: Page 216 Three friends are going camping. The item in each of their backpacks form a set Which items do all three friends have in common. • Draw a Venn Diagram.

  10. 3-8 Unions and Intersections of Sets • Problem 4: Work with a partner: • 500 Commuters polled, some drive, some take public transportation, and some do both. Two hundred commuters drive to work and 125 use both types of transportation. How many commuters take public transportation? • What is D P

  11. 3-8 Unions and Intersections of Sets • Problem 5: Solve |2x – 1| < 3: Write the solution as either the union or intersection of two sets.

  12. 3-8 Unions and Intersections of Sets • Homework: P. 218 10 – 34 evens

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