Question

let A = { x:x is an even number },B= { x:x is an odd number, C ={ x:x is a prime number, D = { x=x is a multiple
of 3. Find i) AUBii)Aintersection B iii) C-D iv) A intersection C and describe the sets in set builder form?​

Answer 1

(i) A∩B={x:x is a even natural number}=B

A∩B={x:x is a even natural number}=B(ii) A∩C={x:x is an odd natural number}=C

A∩B={x:x is a even natural number}=B(ii) A∩C={x:x is an odd natural number}=C(iii) A∩D={x:x is a prime number}=D

A∩B={x:x is a even natural number}=B(ii) A∩C={x:x is an odd natural number}=C(iii) A∩D={x:x is a prime number}=D(iv) B∩C=ϕ

A∩B={x:x is a even natural number}=B(ii) A∩C={x:x is an odd natural number}=C(iii) A∩D={x:x is a prime number}=D(iv) B∩C=ϕ(v) B∩D={2}

A∩B={x:x is a even natural number}=B(ii) A∩C={x:x is an odd natural number}=C(iii) A∩D={x:x is a prime number}=D(iv) B∩C=ϕ(v) B∩D={2}(vi) C∩D={x:xis