Question

Given that X={whole numbers less than 24}

P={prime numbers less than 24}
Q={Even numbers less than 24}
Find (a) P U Q
(b) P n Q
(c) P' n Q
(d) (P U Q)'​

Answer 1

Explanation:

X= {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23}

P= {2,3,5,7,11,13,17,19,23}

Q= {2,4,6,8,10,12,14,16,18,20,22}

a= {2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23}

b= {2,}

c= we first find p'

p'={1,4,6,8,9,10,12,14,15,16,18,20,21,22}

c={4,6,8,10,12,14,16,18,20,22}

d=we do same here but we already have p' so we find for q'

q'={1,4,6,8,9,10,12,14,15,16,18,20,21,22}

d={1,4,6,8,9,10,12,14,15,16,18,20,21,22}