Question

Given P = {x ϵ N ; x≤7} , Q = {4,7,10} Find 1) P n Q (II) P U Q (III) P-Q (IV) Q-P

Answer 1

Answer:

From the question it is given that, P={x:x∈W and x<6}

P={0,1,2,3,4,5}

Q={x:x∈N and 4≤x≤9}

Q={4,5,6,7,8,9}

(i) P∪Q

P∪Q={0,1,2,3,4,5,6,7,8,9}

(ii) P \cap Q P∩Q={4,5}

(iii) P−Q

P−Q={0,1,2,3}

(iv)Q−P

Q−P={6,7,8,9}

By observing the above sets, P∪Q is a proper superset of P∩Q