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Write power set of A={x/x is factor of 4}; x E N |
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Answer» -step explanation:Given :A={x/x is factor of 4}; x E NTo find :Write power set of ASolution:A={x/x is factor of 4}; x E N=>A={1,2,4}=>n(A)=3since the NUMBER of ELEMENTS in the set A is 3 then the number of subsets to A =2^3=8They are{},{1},{2},{4},{1,2},{2,4},{1,4},{1,24}The power set of A is P(A)={{},{1},{2},{4},{1,2},{2,4},{1,4},{1,24}}Points to REMEMBER:The number of elements in the given set A is called the Cardinal number of the set A and it is denoted by n(A).The set A has n elements then the number of subsets to A are 2^n.The set of all subsets is called the power set.The power set of A is denoted by P (A). |
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