Question

Write the set in the set-builder form.{3,6,9,12}

Answer 1

Answer:

S = {x : x is the multiple of 3, where x ≤ 12}

Step-by-step explanation:

The given set-

S = {3, 6, 9, 12}

The set-builder form of S-

S = {x : x is the multiple of 3, where 3 ≤ x ≤ 12}

This is the set-builder form of set S.

Answer 2

{ x : x = 3n, n ∈ N and 1 ≤ n ≤ 4}

Step-by-step explanation:

• The set in the set-builder form of the set {3,6,9,12} is { x : x = 3n, n ∈ N and 1 ≤ n ≤ 4}.
• The set-builder form is a way of presenting the sets.
• The sets are presented in a shorter way.
• The infinite number of elements are denoted by the variable x.
• A colon ':' or a vertical line '|' is used which are read as 'such that'.

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Write the given set in the set-builder form: {3, 6, 9, 12}

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