Question

If U ={1,2, 3.,.....10} , P (3, 4, 5., 6) and Q = x:x belongs to N , x<5 }then verify that n (Q -P)=n(Q)- n(P intersection Q).

Answer 1

Given

U ={1,2, 3.,.....10}

P={3, 4, 5., 6}

Q = {x:x belongs to N}

Roster form of set Q

Q={1,2,3,4}

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

Q-P={1,2,3,4}-{3,4,5,6}

Q-P={1,2}

n(Q-P)=2

n(Q)=4

PnQ={3,4,5,6}n{1,2,3,4}

PnQ={3,4}

n(PnQ)=2

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

2=4-2

2=2

Verified

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