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PiNoY HenYo. 1. 2. 3. 4. 5. 6. 7. 8. 9. 00:51. 00:41. 00:31. 00:21. 01:00. 00:22. 00:56. 00:55. 00:54. 00:43. 00:52. 00:50. 00:47. 00:48. 00:57. 00:46. 00:45. 00:11. 00:42. 00:49. 00:58. 00:53. 00:44. 00:23. 00:24. 00:25. 00:26. 00:27. 00:29. 00:40. 00:32.
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PiNoY HenYo
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00:51 00:41 00:31 00:21 01:00 00:22 00:56 00:55 00:54 00:43 00:52 00:50 00:47 00:48 00:57 00:46 00:45 00:11 00:42 00:49 00:58 00:53 00:44 00:23 00:24 00:25 00:26 00:27 00:29 00:40 00:32 00:59 00:35 00:36 00:38 00:28 00:39 00:30 00:33 00:34 00:12 00:01 00:18 00:17 00:16 00:15 00:14 00:13 00:10 00:20 00:09 00:07 00:06 00:05 00:04 00:03 00:02 00:19 00:08 members of the Pussycat Dolls
sets Any well-defined collection of objects and each object of the collection is an element or member of the set
Example: All the planets in the solar system elements: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus and Neptune
Two Kinds of Sets a. Finite sets If and only if there is a number that describes exactly how many elements it contains Example: The set of all the vowels of the alphabet
Two Kinds of Sets b. infinite sets there is no exact number that describes exactly how many elements it contains Example: The set of all real numbers
c. Empty or null set The set containing no elements and denoted by { } or Ø
Ways of representing a set a. Roster notation • If the collection does not contain a very large number of objects • All the elements are listed and enclosed them between a pair of braces
Example: All the vowels of the alphabet A ={ a, e, i, o, u} • Read as “the set whose elements are a, e, i, o, u.”
Exercises: • All months of the year having exactly 30 days • All suits in a deck of playing cards • The squares of the first four natural numbers
Ways of representing a set b. set-builder notation • If the collection contains a very large number of objects • Tells what requirements must be met in order to belong to the set
Example: All the countries in the world A ={ x| x is a country in the world } • Read as “the set of all x’s such that x is a country in the world”
Exercises: • All the positive multiples of 3 • All the states of the Unites States • All even natural numbers
Exercises: Represent each set using the roster method. • All the types of clouds • All the distinct letters in the word “Mississippi” • All natural numbers less than 5 • Students in the class who are not from cebu • The children of your parents
Exercises: Represent each set using the set-builder notation. identify the set as either finite or infinite. • {2, 4, 6, 8, 10, …} • {Mercury, Earth, Mars, Neptune, …} • {5, 10, 15, 20, …} • {Macapagal, Garcia, Magsaysay, Quirino, …} • {Philippines, Panama, Puerto Rica, …}