Question

P = {3,5,9} , Q = {5,7,9,11}

Write PUQ , P∩Q , n(P) , n(Q) ,n(PUQ) , n(P∩Q) .​

Answer 1

Answer:

done by plagiarism

Step-by-step explanation:

n(B - A) = n(B) - n(A ∩ B)  

Cardinal Properties of Sets

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Problems on Cardinal Properties of Sets

1. If P and Q are two sets such that P ∪ Q has 40 elements, P has 22 elements and Q has 28 elements, how many elements does P ∩ Q have?

Solution:  

Given n(P ∪ Q) = 40, n(P) = 18, n(Q) = 22  

We know that n(P U Q) = n(P) + n(Q) - n(P ∩ Q)  

So, 40 = 22 + 28 - n(P ∩ Q)  

40 = 50 - n(P ∩ Q)  

Therefore, n(P ∩ Q) = 50 – 40  

Answer 2

Step-by-step explanation:

PUQ = { 3,5,7,9,11 } you wrote all numbers in union.

P ( intersection) Q = { 5,9 } you wrote the common numbers.

n(p) = 3 ( number of elements in p)

n(Q) =4

n(PUQ)= 5 ( number of elements in PUQ)

n(p intersection Q) = 2.