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Answer:
6) A
7) B
C
A
D
C
B
A
C
A is the answer
Oh ! that's too much.
But don't worry I'll try my best. ^_°
6) A U A' = U (universal Set) ___(Ans.)
7) A ⋂ A' = Ø ( null Set ) _______(Ans.)
8) if A ⊆ B then all elements of A lies also in set B.
So, A ⋂ B = A _______(Ans.)
9) If A ⊆ B then A U B = B______(Ans.)
10) n(A) = 25 ; n(B) = 20 ; n(A U B) = 10
So, we know that
n(A U B) = n(A) + n(B) - n(A ⋂ B)
n(A U B) = 25 + 20 - 10
n(A U B) = 35 _________ (Ans.)
11) n(A) = 11 ; n(B) = 7 & n(A U B) = 13
So, once again
n(A U B) = n(A) + n(B) - n(A ⋂ B)
13 = 11 + 7 - n(A ⋂ B)
n(A ⋂ B) = 5 _________ (Ans.)
12) A = { 1, 2, 4, 6, 8, 11, 13} &
B = { 3, 4, 7, 11, 13}
So, (A ⋂ B) = terms which are common in A & B set
Hence, (A ⋂ B) = {4, 11, 13}______(Ans.)
13) U = { x| x € N, 1≤ x <10 }
A = {1, 2, 3, 4, 5} & B = {4, 5, 7, 8, 9}
So,
U = {1, 2, 3, 4, 5, 6, 7, 8, 9}
A' = U - A = {6, 7, 8, 9}
B' = U - B = {1, 2, 3, 6}
Hence (A' ⋂ B') = {6} _______(Ans.)
14) n(B) = 40 ; n(A ⋂ B) = 20 &
n(A U B) = 35 so, n(A) = ?
Once again,
n(A U B) = n(A) + n(B) - n(A ⋂ B)
35 = n(A) + 40 - 20
n(A) = 15 ___________ (Ans.)
15) P = { x | x = 2^n , n € I }
Then P is an INFINITE SET.
Because for different values of n we get different x.
Hope it helps.
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