WRITING ON SETS AND OPERATION ON SETssss
- 1. WRITING ON SETS AND OPERATION ON SETS BSMA 1A
- 2. WRITING OF SETS • it has to ways to write sets: • the Roster Method is represented by listing all the elements of the set enclosed in flowery brackets ”{}”. • the Rule Method is represented by giving property which the elements of the set and only the elements of the set satisfy.
- 3. ROSTER METHOD • For example: • { p, i, n, k, y} • { red, blue, yellow, green, purple}
- 4. RULE METHOD • For Example: • Using the rule method, the set { p, i, n, k, y} can be written as: • -{ x| x is a letter of the word “pinky”} • Using the rule method, the set { 1, 2, 3, 4, 5, 6, 7, ….} can be written as: • -{ x| x is an integer and x > 0}
- 5. OPERATION ON SETS • There are 3 (three) Set Operations: • 1. Union • 2. Intersection • 3. Relative Complement
- 6. UNION • - is a set operation that involves merging elements of both sets into one. • for example: 1. A= ( 5, 6, 7, 8, 9) B= ( 8, 9, 10, 11) 2. E= ( a, b, c, d, e) F= ( e, f, g, h) • Answers: 1. AÈB = ( 5, 6, 7, 8, 9, 10, 11) 2. EÈ F= ( a, b, c, d, e, f, g, h)
- 7. INTERSECTION • - is a set operation that involves collecting all elements similar to both sets. • For example: 1. A= ( 5, 6, 7, 8, 9) B= ( 8, 9, 10, 11) 2. E= ( a, b, c, d, e) F= ( e, f, g, h) • Answers: • 1. AÇB= ( 8, 9) 2. EÇF= (e)
- 8. RELATIVE COMPLEMENT • is a set operation that involves collecting all the elements in the first set that is not in the second set. Also known as difference of two sets and denoted as “A – B” for two sets A and B. • For example: 1. A= ( 5, 6, 7, 8, 9) B= ( 8, 9, 10, 11) 2. E= ( a, b, c, d, e) F= ( e, f, g, h) • Answers: • 1. AB= (5,6) 2. EF= ( a, b)