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Learning Activity 2.2 Answer the following questions: 1. Write the following in roster form. a. Set of all provinces in Region 1. b. Set of all positive integers less than 50 divisible by 5. 2. Describe the following sets by its property a. A = { January, June, July } b. В -(2, 4, 6, 8, 10) 3. Given the following sets Let U- {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A= (1, 2, 3, 4, 5} B= {6, 7, 8, 9, 10} C= {2, 4} Find: a. AUB b. BnC C. A- B d. B' е. Ахс f. AnBn C'

Learning Activity 2.2 Answer the following questions: 1. Write the following in roster form. a. Set of all provinces in Region 1. b. Set of all positive integers less than 50 divisible by 5. 2. Describe the following sets by its property a. A = { January, June, July } b. В -(2, 4, 6, 8, 10) 3. Given the following sets Let U- {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A= (1, 2, 3, 4, 5} B= {6, 7, 8, 9, 10} C= {2, 4} Find: a. AUB b. BnC C. A- B d. B' е. Ахс f. AnBn C'

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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Inverse If a binary operation * on a set A which satisfies a * b = b *a = e, for all a, b E A. a-1 is invertible if for a*b = b* a= e, a-1 = b. 1 is invertible when * is multiplication. GECC 103 - Mathematics in the Modern World Module 1 12 Example 3: The set of natural numbers (N) does not have the inverse property under the operation of addition (+), because while -x would normally be the inverse for x under addition, there are no negative numbers in the set of natural numbers. The inverse must be in the set in order for the property to hold. Learning Activity 2.2 Answer the following questions: 1. Write the following in roster form. a. Set of all provinces in Region 1. b. Set of all positive integers less than 50 divisible by 5. 2. Describe the following sets by its property a. A = { January, June, July } b. В -( 2, 4, 6, 8, 10} 3. Given the following sets Let U- {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A= {1, 2, 3, 4, 5} B= {6, 7, 8, 9, 10} C= {2, 4} Find: a. AUB b. Bnc c. A- B d. B' е. Ахс f. AnBnC' GECC 103 - Mathematics in the Modern World Module 1
Transcribed Image Text:Inverse If a binary operation * on a set A which satisfies a * b = b *a = e, for all a, b E A. a-1 is invertible if for a*b = b* a= e, a-1 = b. 1 is invertible when * is multiplication. GECC 103 - Mathematics in the Modern World Module 1 12 Example 3: The set of natural numbers (N) does not have the inverse property under the operation of addition (+), because while -x would normally be the inverse for x under addition, there are no negative numbers in the set of natural numbers. The inverse must be in the set in order for the property to hold. Learning Activity 2.2 Answer the following questions: 1. Write the following in roster form. a. Set of all provinces in Region 1. b. Set of all positive integers less than 50 divisible by 5. 2. Describe the following sets by its property a. A = { January, June, July } b. В -( 2, 4, 6, 8, 10} 3. Given the following sets Let U- {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A= {1, 2, 3, 4, 5} B= {6, 7, 8, 9, 10} C= {2, 4} Find: a. AUB b. Bnc c. A- B d. B' е. Ахс f. AnBnC' GECC 103 - Mathematics in the Modern World Module 1
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