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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 $ B and X $ \subseteq $ C

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Given, A = {1, 2, 3, 4}, B = {1, 2, 3} and C = {2, 4}.
Subsets of B are: $ \phi $, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}.
Subsets of C are: $ \phi $, {2}, {4}, {2, 4}
Since X is a subset of both B and C, therefore, X = $ \phi $, {2}.
answered Jun 12, 2014 by thanvigandhi_1
 

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