Check whether the following sets are equivalent ? (i) A = {x : x is a – InterviewSolution

1.	Check whether the following sets are equivalent ? (i) A = {x : x is a letter in the word SOLUTION} B = {P, R, O, B, L, E, M} (ii) C = {x : x is either or composite, `x lt 10`} `D={1}`
Answer» Correct Answer - (i) Yes (ii) No (a) `A={S, O, L, U, T, I, N}` `n(A)=7` `B={P, R, O, B, L, E, M}` `n(B)=7` Since `n(A)=n(B)`, `:. A` and B are equivalent sets. (b) `C-{x : x in N, x" is either prime or composite"}` i.e., `C` is the collection of all natural numbers except 1, less than 10. `C={2, 3, 4, 5, 6, 7, 8, 9}` `n(C)=8` `D={1}` `n(D)=1` Since `n(C) ne n(D)`, `:. C` and `D` are not equivalent sets.

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