How many distinct positive integers can be represented as the difference of two numbers in the set $/{1, 3, 5, 7, 9, 11, 13/}$?

Question

Mathematics

Emmy Huerta

8 March, 05:10

How many distinct positive integers can be represented as the difference of two numbers in the set $/{1, 3, 5, 7, 9, 11, 13/}$?

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Answers (1)

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Joshua Howell · Answer 1

The set given is {1, 3, 5, 7, 9, 11, 13} and is asked in the problem to determine the number of integers that are defined as the difference of the two numbers.

differences:

2, 4, 6, 8, 10, 12

2, 4, 5, 8, 10

2, 4, 6, 8

2, 4. 6

2, 4

2

Hence the solution set is { 2, 4, 6, 8, 10, 12}. The answer is 6 integers.