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Byju's Answer
Standard XII
Mathematics
Difference of Two Sets
For all the s...
Question
For all the sets A, B and C,
(A – B) ∩ (C – B) =
A
(
A
∩
C
)
∩
B
'
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B
(
A
∩
C
)
−
B
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C
(
A
∩
C
)
∩
B
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D
(
A
−
C
)
−
B
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Solution
The correct options are
A
(
A
∩
C
)
∩
B
'
B
(
A
∩
C
)
−
B
(
A
–
B
)
∩
(
C
–
B
)
=
(
A
∩
B
'
)
∩
(
C
∩
B
'
)
[using distributive law of sets-
P ∪ (Q ∩ R) = (P ∪ Q) ∩ (P ∪ Q)]
=
(
A
∩
C
)
∩
B
'
=
(
A
∩
C
)
−
B