9. Let A = (1, 2, 3, 4), B = (1, 2, 3] and C = (2, 4). Find all sets X satisfying each pair of
following conditions :
(i) X is the subset of B and X is not the subset of C .
(ii) X is the subset of B,X is not equal to B and X is not the subset of C .
(iii) X is the subset of A,X is the subset of B and X is the subset of C.
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8
Answer:
X={1,3}
Step-by-step explanation:
For set { } this should be used not()
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A = (1,2,3,4)
A = {2,3}
B = (1,2,3]
B = {2,3}
C = (2,4)
C = {3}
i)
X is the subset of B but not subset of C
==> X = {2,3}
and
==> X = {2}
ii)
X is the subset of B, X is not equal to B and X is not subset of C
==> X = {2}
iii)
X is the subset of A, X is the subset of B and X is the subset of C
==> X = {3}
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