An odd number between 7 and 15, inclusive, is given as [tex]x[/tex]. List this set in listing notation.

Question

18-06-2025
Mathematics

High School

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An odd number between 7 and 15, inclusive, is given as [tex]x[/tex]. List this set in listing notation.

Answer :

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raajratan raajratan · Answer 1 · 2024-12-18T08:08:41-05:00

Final answer:

The expression x/x simplifies to 1, represent an odd number between 7 and 15. However, the set of odd numbers between 7 and 15, inclusive, is {7, 9, 11, 13, 15}.

Explanation:

The question asks us to determine the set of values that represents an odd number between 7 and 15, inclusive, when the expression x/x is resolved. Since x/x simplifies to 1 for all x except when x = 0 (where the expression is undefined), this requirement contradicts the initial condition.

Because there is no set of values such that x/x results in an odd number between 7 and 15. Therefore, the presumed mistake in the question implies that there is no solution set for the given conditions. However, if we consider the set of odd numbers between 7 and 15 inclusive in listing notation, we get {7, 9, 11, 13, 15}.

This list represents the odd integers that meet the specified criteria. It should be noted that the expression x/x was likely intended to represent a variable that could take on integer values resulting in the odd numbers within the given range, but the expression itself is an inconsistency in the question.