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WORKBOOK



               Example 7: The sum of number of subsets of a set A and the number of proper subsets of A is 127. Find the
               number of element of set A.










                              Example 8:  When the number of elements of a set A is increased by 2, the number of
                              subsets of A is increased by 192. Find n(A).










                                 Work hard in silence, let your success be your noise.

                                                         EXERCISES 2


                   1)  Let A = {1, 2, 3}. Write all the subsets of this   3)  If A= {0, 1, {2}, {2, 3, 4}, {5, 6, 7}, 8}, then
                      set.                                              determine whether the following
                                                                        statements TRUE or FALSE.
                                                                            (      )            {2}∉A

                                                                            (      )            {2}⊂A
                                                                            (      )            {3, 4} ∈A

                                                                            (      )            {0, 1}⊂A
                   2)  A   b,a  ,    e,d,c   is a given set. Which of the   (      )            {{5, 6, 7}, 8}⊂A
                      following is false?                                   (      )            ∅ ∈A
                            (      )               a ÎA
                                                                            (      )            ∅ ⊂A
                            (      )             {a,b} Ì A                  (      )            n(A) = 6

                                 {
                            (      )             {c,d}} Ì A          4)  If the number of elements in a set is

                                                                        increased by 2, then the number of subsets
                            (      )             {e,a} Ì A              increases by 48. Find the number of the

                                                                        subsets?
                                        A
                                b, c
                            (      )               





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