Question

1. IfU = {x : −2 < x − 2 < 8} , A = {x : xisaprimenumber} and
B = {x : xisanoddnumber} ,find
i) the set of elements which are either prime or odd.
ii)the set of elements which are prime as well as odd.
iii)the set of elements which are prime but not odd.

Answer 1

Step-by-step explanation:

A={x:xis a natural number}={1,2,3,4,5.....}

B={x:x is an even natural number}={2,4,6,8.....}

C={x:x is an odd natural number}={1,3,5,7,9.......}

D={x:xis a prime number}={2,3,5,7....}

(i) 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 odd prime number}