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Sets & Set Notation

Sets & Set Notation. Set. It is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements. Set notation uses curly braces, with elements separated by commas. . A = {coat, hat, scarf, gloves, boots}, . Set A has 5 elements.

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Sets & Set Notation

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  1. Sets & Set Notation

  2. Set • It is a collection of objects that have something in common or follow a rule. • The objects in the set are called its elements. • Set notation uses curly braces, with elements separated by commas.

  3. A = {coat, hat, scarf, gloves, boots}, • Set A has 5 elements. • Coat  A

  4. What is the set of all fingers?

  5. What is the set of even numbers between 0 and 10?

  6. Let M = set of the days of the week.

  7. Let X = the set of odd numbers less than 12

  8. B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}C = {2, 4, 6, 8, 10} • Subset – is part of a set. • Set C is a subset of set B. • We call set B the universal set…Venn Diagram is:

  9. U = {a, b, c, d, e, f, g, h, i, j, k, l, m}A = {a, c, e, g, i, k, m}B = {b, d, f, h}

  10. U = {a, b, c, d, e, f, g, h, i, j, k, l, m}A = {a, c, e, g, i, k, m}B = {a, b, c, d, e, f}

  11. U = {a, b, c, d, e, f, g, h, i, j, k, l, m}A = {a, b, d, e, h, j, m}B = {a, d, e, f, g, h, k}C = {b, c, f, h, l}

  12. Union • It is the joining of all elements of two or more sets • It is represented as A  B.

  13. A = {letters in the word mathematics}B = {letters in the word problem} • Find A  B

  14. A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}B = {set of odd numbers}C = {multiples of three}D = {Multiples of four} Find: B  C= C  D = B  D= B  C  D =

  15. Intersection • This consists of the elements that the sets have in common. • It is represented as A  B.

  16. A = {letters in the word mathematics}B = {letters in the word problem} • Find A  B

  17. A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}B = {set of odd numbers}C = {multiples of three}D = {Multiples of four} Find: B  C= C  D = B  D= B  C  D =

  18. Shade A  B

  19. Shade A  B

  20. Shade A  B  C

  21. Complement • Consists of the elements not in that set. • Represented as A’ • Read “not A”

  22. U = {1, 2, 3, 4, 5, 6, 7,8, 9, 10}A = { 2, 4, 6, 8, 10}B = {1, 2, 3, 4, 5, 6, 7}

  23. There are 18 bikes in a parking lot. 7 are gas powered and 5 are electric powered. 2 bikes are powered by both gas and electric. How many bikes in the parking lot are not powered by anything?

  24. A case of chocolate contains 15 chocolate bars. The chocolates come in three varieties: milk, dark, and milk/dark mix. 6 milk chocolates and 3 dark chocolates become expired. How many of the milk chocolates are expired if there are 6 milk chocolates that are not expired?

  25. http://www.univie.ac.at/moe/tests/mengen/duv.html

  26. Homework • Worksheet

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