of the numbers listed below, which are not multiples of 4? 2,4,7,8,12,15,19,24,34

Mathematics · College · Tue Nov 03 2020

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Given the list of numbers:

2,4,7,8,12,15,19,24,34

Determine which are not multiples of 4.

Solution:

List down the multiples of 4 in roster form.

A {4, 8, 12, 16, 20, 24, 28,  32, 36, 40,…}

Put the list of numbers in roster form.

B {2,4,7,8,12,15,19,24,34}

Determine which numbers are not a multiply of 4 by applying set difference: B-A, which means that the remaining elements are elements of B that are not in A

B - A = {2, 7, 15, 19, 34}

The numbers 2, 7, 15, 19, 34 are not multiples of 4.