Let A 1, 3,5,7) B=(5, 6, 7,8) C- 15,8) D-12,5, 8) U={1, 2, 3, 4, 5,6,7,8). Deter

Question

Let A 1, 3,5,7) B=(5, 6, 7,8) C- 15,8) D-12,5, 8) U={1, 2, 3, 4, 5,6,7,8). Determine whether the statement is true or false. 19) CsD 19, alse; the elements are the same in Cand D rue False; C is not a subset of D. D) False; D is a subset of C. 20) DeB 20) A) True B) False, the elements are the same. False; the sets must have the same number of elements. 21) D eD 1) False; A is not a subset of itself. alse; the set is equal to itself. . Aisasuttafself. i Use s c, or both c and ‘ to make a true statement. 22) (14 15,16)(14,15, 16) 22) A) c C) c D) e and s 2910) 23) -- or determine the number of subsets as requested. the number of subsets of [1, 2, 3, 6) List all s A) B) 16 ) 128 25) List all the subsets of (6). A) (6) B) 10,61 16) OK , { 26) 26) List all the subsets of (wolf, cat, sheepl. A) twoil, cat sheepl, Iwolf, cat, (wolf, sheepl. Icat, sheepl, Iwolf). Icat), (sheepl C) (wolf, cat sheepl·(wolf, cat. (volf, sheep, lat sheepl, twolf, la. Isheepl { } cat, twolf, sheep. Icat, sheep, bolf. Icat, lsheepl [wolf, cat. Iwolf, sheepl lat sheep. Iwolf. I at, Isheepl.I ) If the statement is true for all sets C and D, write "true." If it is not true for all sets C and D write "false. Assame tiitc o, U o, and Cc U 27) If Ce D, then CsD. B) F A) True

Explanation / Answer

Any set is a subset of itself, but not a proper subset. (X X is True, and X X is false for any set X.)

21) Ans -(D)False , the set is subset to itself

(A,C) reason are not correct , we can not use term equal

(B ) statement is false

22) if two set are same we should use

(this shows set might be same or proper subset )

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