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Algebra 2

Algebra 2. Union and Intersection of Sets. Union and Intersection of Sets. WARMUP S = { 4, 6, 8, 10 } T = { 8, 10, 12, 14 } Is there a one-to-one correspondence between S and T? Is S = T? Is 6  S? Is 6  T? Is { 4, 6 }  S?. Union and Intersection of Sets.

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Algebra 2

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  1. Algebra 2 Union and Intersection of Sets

  2. Union and Intersection of Sets • WARMUP S = { 4, 6, 8, 10 } T = { 8, 10, 12, 14 } Is there a one-to-one correspondence between S and T? Is S = T? Is 6  S? Is 6  T? Is { 4, 6 }  S?

  3. Union and Intersection of Sets • Intersection () The Intersection of any two sets S and T is the set consisting of the members belonging to both S and T. S = { 1, 2, 3, 4, 5 } T = { 3, 4, 5, 6, 7, 8 } S  T = { 3, 4, 5 }

  4. Union and Intersection of Sets S = { 0, 3, 6, 9, 12 } and T = { 0, 6, 12, 18} What is S  T?

  5. Union and Intersection of Sets • Union () The Union of any two sets S and T is the set consisting of the members belonging to at least one of the sets S and T. S = { 1, 2, 3, 4, 5 } T = { 3, 4, 5, 6, 7, 8 } S  T = { 1, 2, 3, 4, 5, 6, 7, 8 }

  6. Union and Intersection of Sets S = { 0, 3, 6, 9, 12 } and T = { 0, 6, 12, 18} What is S  T?

  7. Union and Intersection of Sets • Disjoint sets – are sets that have no members in common. R = { 1, 3, 5, 7, 9} Q = { 2, 4, 6, 8} R  Q = Ø

  8. Union and Intersection of Sets • Use Venn Diagrams to show how sets are related.

  9. Union and Intersection of Sets • Parentheses are used with set operations to indicate which operations are to be performed first. S = {-2, -1, 1, 2} T = {0, 1, 3} R = {1, 2, 3, 4} What is S  (T  R) ?

  10. Union and Intersection of Sets • Intersection and Union can be performed on infinite sets as well as finite sets. See Example 2 on Handout.

  11. Union and Intersection of Sets • Homework Intersection and Union of Sets Handout Written Exercises 2 – 24 EVEN

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