a How would you show that for any whole number a a 0 a if...
80.2K
Verified Solution
Link Copied!
Question
Basic Math
a How would you show that for any whole number a a 0 a if you were starting from our definition of addition and the audience is your university class b How would you show that for any whole number a a 0 a if you were talking to your class of fourth graders a Choose the correct answer below OA O is the cardinal number of the empty set that is n 0 If the set A has a elements in it n A a then n A n n A U because A and are disjoint But A U A since there are no elements in to add to the set A Thus n A U n A a OB Start with two disjoint sets of the same cardinality A and B with n A n B a Then write the equation Since n A n B a n AUB a Since they are disjoint AnB Then a 0 n AU ANB which is equal to n AUB a OC Use manipulatives to show that the union of a collection with a collection with no elements has the same number of elements as the first collection OD O is the cardinal number of the empty set that is n 0 If the set A has a elements in it n A a then n A n n An because A and are disjoint But An A since there are no elements in to add to the set A Thus n AU n A a
Answer & Explanation
Solved by verified expert
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
