Question

5. In the following, determine whether A and B are equivalent sets, and if so, whether
A = B.
(i) A = {1,3,5},
B = {Red, Blue, Green}
(ii) A = {prime factors of 70),
B = {prime factors of 60}
(iii) A = {even natural numbers less than 10)
B = {odd natural numbers less than 10).​

Answer 1

Step-by-step explanation:

If we write A,B and C in tabular form,

If we write A,B and C in tabular form, we get

If we write A,B and C in tabular form, we get A={6,12,18,24,30,36},

If we write A,B and C in tabular form, we get A={6,12,18,24,30,36},B={0,8,16,24,32}

If we write A,B and C in tabular form, we get A={6,12,18,24,30,36},B={0,8,16,24,32}and C={1,2,4,7,14,28}

If we write A,B and C in tabular form, we get A={6,12,18,24,30,36},B={0,8,16,24,32}and C={1,2,4,7,14,28}A↔C True, because n(A)=6=n(C)

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