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Mathematics

If set A = {x : x ∈ N, x = n - 3, n ∈ N and n < 3}, then set A is :

  1. {-3, -2, -1, 0, 2}

  2. { }

  3. {-3, -2, -1}

  4. {0, -1, -2, -3}

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Answer

x = n - 3

When n = 0

x = 0 - 3 = -3

When n = 1

x = 1 - 3 = -2

When n = 2

x = 2 - 3 = -1

As -3, -2, -1 are not natural numbers,

∴ set A = {x : x ∈ N, x = n - 3, n ∈ N and n < 3} = { }

Hence, option 2 is the correct option.

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