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Answers
Step-by-step explanation:
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Answer:
11.D
12.D
13.B
14.D
15.C
16.B
17.C
18.A
Step-by-step explanation:
11.
A = { 1,2}
=> n (A ) = 2
B = { 3,4,5,6}
=> n (B) = 4
n(A)+n(B) = 2+4 = 6
12.
The symbol => means Implies
13.
A = Phi = {}
B = phi = {}
AUB = { } U { } = { }
AUB = phi = { }
14.
AUB = BUA is called Commutative law in sets uner union .
15. Null set = Void set = Empty set = { }
Number of elements in the empty set = 0
=> Cardinal number of null set is zero (0)
16. If AUB = B then B is the super set and A is the sub set of B
17. A = { 1,2,3,4}
B = {2,4,6,8}
A-B = {1,2,3,4} - { 2,4,6,8}
=> A-B = { 1,3}
18. n(AUB) = 8
n(A) = 6
n(B) = 4
We know that
n(AnB) = n(A)+n(B)-n(AUB)
=> n(AnB) = 6+4-8
=>n(AnB) = 10-8
=> n(AnB) = 2
or n(AUB)+n(AnB) = n(A)+n(B)
=> 8+ n(AnB) = 6+4
=> 8+ n(AnB) =10
=> n(AnB) = 10-8
=> n(AnB) = 2
Therefore, n(AnB) = 2