Question

Given U={x:x € N and x <=18};P={set 9f all prime numbers}; Q={set of all odd numbers} and R={set of all multiples of 3}.Find P',Q',and R'.Then state whether Pand Q are disjoint

Answer 1

Answer:

P'={1,4,6,8,9,10,12,14,15,16,18}

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

R'={1,2,4,5,7,8,10,11,13,14,16,17}

P and Q are not disjoint

Step-by-step explanation:

First of all, our universal set is limited to Natural numbers less than or equal to 18, so the sets U={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18}

P={2,3,5,7,11,13,17} Q={1,3,5,7,9,11,13,15,17}

R={3,6,9,12,15,18}.

P' is the set containing every element in U but not in P. Similarly for Q,R.

The sets P and Q are not disjoint because there are elements common to both of them (3,5,7,11,13,17).