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Mathematics

List the elements of the following set :

{ x : x = 2y + 5 ; y ∈ N and 2 ≤ y < 6 }

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Answer

{ x : x = 2y + 5 ; y ∈ N and 2 ≤ y < 6 }

When y = 2

x = 2 x 2 + 5 = 4 + 5 = 9

When y = 3

x = 2 x 3 + 5 = 6 + 5 = 11

When y = 4

x = 2 x 4 + 5 = 8 + 5 = 13

When y = 5

x = 2 x 5 + 5 = 10 + 5 = 15

Hence, the elements are = 9, 11, 13 and 15.

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