D=xlx is a whole number) E = {xlx is a perfect square between 1 and 9)
F={xlx is an even number greater than or equal to 2 and less than 9)
Which of the following is an element of D n (E n F)?
16
3
6
4

Option (4)

Step-by-step explanation:

D = {x| x is a whole number}

D = {1, 2, 3, 4}

E = {x | x is a perfect square between 1 and 9}

E = {4}

F = {x | x is an even number greater than 2 and less than 9}

F = {2, 4, 6, 8}

(E ∩ F) = Set of common numbers of E and F

           = {4}

D ∩ (E ∩ F} = Set of common numbers in the sets of D and (E ∩ F)

                   = {4}

Therefore, Option (4) will be the answer.

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