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Home  >>  AIMS  >>  Class11  >>  Math  >>  Sets
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Let A = {1, 2, 3, 4}, B = {1, 2, 3} and C = {2, 4}. Find all sets X such that: \[\] X $ \subseteq $ A and X $ \not{\subset} $ B

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A = {1, 2, 3, 4} B = {1, 2, 3}
Here 1, 2, 3 are elements of both A and B and 4 is the only element of A which is not in B.
Since X $ \subseteq $ A and X $ \not{\subset} $ B, therefore, 4 must belong to X.
Hence X = {4}, {1, 4}, {2, 4}, {3, 4}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}.
answered Jun 12, 2014 by thanvigandhi_1
edited Jun 12, 2014 by thanvigandhi_1
 

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