Question

write a universal set for which (a) the set of all even numbers, and (b) the set of all odd numbers are subsets​

Answer 1

A = {even numbers}

The universal set is given as {4, 5, 6, 7, 8, 9, 10, 11,12,13}

Therefore, subset A = {even numbers} = {4,6,8,10,12}

(ii) B = {odd numbers greater than 8}

The universal set is given as {4, 5, 6, 7, 8, 9, 10, 11,12,13}

Therefore, subset B = {odd numbers greater than 8} = {9,11,13}

(iii) C = {prime numbers}

The universal set is given as {4, 5, 6, 7, 8, 9, 10, 11,12,13}

Therefore, subset C = {prime numbers} = {5,7,11,13}

(iv) D = {even numbers less than

Answer 2

Answer:

Answer

Given universal set ∈={1,2,3,4,5,6,7,8}

A={even numbers}={2,4,6,8}

B={odd numbers}={1,3,5,7}

C={2,5,6,7,8}

i) A∪B={2,4,6,8}∪{1,3,5,7}={1,2,3,4,5,6,7,8}=∈

ii) A

′

∩B

′

=(A∪B)

′

=∈

′

=ϕ(emptyset)