(6)Rewrite the following sets in a set builder form: - A={a, e, i, o, u} B={1, 2, 3, 4 ….} C is a set of integers between –15 and 15.?

Question

Answer

Converting Sets into Set Builder Form

Set A

A = {a, e, i, o, u}

Set builder notation: A = {x | x is a vowel}

Set B

B = {1, 2, 3, 4, ...}

Set builder notation: B = {x | x is a positive integer}

Set C

C is a set of integers between –15 and 15.

Set builder notation: C = {x | -15 ≤ x ≤ 15 and x is an integer}

Explanation

Set builder notation is a way of describing a set by specifying the properties that its elements must have. In the case of set A, the set builder notation states that the set is made up of all the vowels. For set B, the set builder notation states that the set is made up of all positive integers. Finally, for set C, the set builder notation states that the set is made up of all integers between -15 and 15. By using set builder notation, we can easily describe sets without having to list out all of their elements.

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