Question

P={1,2,3,4} , Q={3,4,5,6} , R={4,5,6,7,8} verify n(PUQ) = n(P) - n(Q)-n(P n Q)​

Answer 1

Answer:

If your question is n(PUQ) = n(P) + n(Q) - n(PnQ)

Step-by-step explanation:

P = {1,2,3,4} → n(P) = 4

Q = {3,4,5,6} → n(Q) = 4

PUQ = {1,2,3,4,5,6} → n(PUQ) = 6

PnQ = {3,4} → n(PnQ) = 2

Substitute the values: RHS is

=> 6

Substitute the values: LHS is

=> 4 + 4 - 2

=> 6

Both are equal, as desired.

Answer 2

Step-by-step explanation:

n(PUQ)=1,2,3,4,5,6=6

n(P)=4

n(Q)=4

n(PnQ)=2

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

so therefore,n(P) not equal to n(P)-n(Q)-n(PnQ)