Question

MARCH 2010
Consider
A= {x : x is natural number, 25x36}
B = {x:x is a prime number, x 57}
C = {x : x2 – 5x + 6 = 0}
i. Write A, B, C in the roster form. 3
ii. Verify that
(AUB) UC = AU(BUC) 2​

Answer 1

Answer:

• 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}