Question

If U = {1, 2, 3, …., 10} , P = {3, 4, 5, 6} and Q = {x : x ∈ N , x < 5}, then verify that n(Q – P) = n(Q) – n(P∩Q).

Answer 1

Answer:

Given, U ={1,2,3,4,5,6,7,8,9,10}

P={3,4,5,6}

Q={1,2,3,4}

Step-by-step explanation:

To verify,

n(Q-P) =n(Q) - n(P intersection Q)

L.H.S

(Q-P)={1,2} [cancelling the p elements]

n(Q-P) =2

R.H.S

n(Q) =4

n(P intersection Q) ={3,4}

=2

n(Q)-n(P intersection Q) =4-2

=2

Therefore, n(Q-P) =n(Q) - n(P intersection Q)

Hence, proved