Problem

Use set-builder notation to write the following set.
\[
\{7,14,21\}
\]
$\{x \mid x$ is a multiple of 6 and $6< x< 22\}$
$\{x \mid x$ is a multiple of 6 and $7< x< 21\}$
$\{x \mid x$ is a multiple of 7 and $7< x< 21\}$
Onone of these
$\{x \mid x$ is a multiple of 7 and $6< x< 22\}$

Answer

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Answer

Final Answer: The set can be written in set-builder notation as \(\boxed{\{x \mid x \text{ is a multiple of 7 and } 6<x<22\}}\).

Steps

Step 1 :Use set-builder notation to write the following set: \(\{7,14,21\}\).

Step 2 :The set contains the numbers 7, 14, and 21. These numbers are all multiples of 7.

Step 3 :Therefore, the set can be described as the set of all x such that x is a multiple of 7 and x is between 6 and 22.

Step 4 :Final Answer: The set can be written in set-builder notation as \(\boxed{\{x \mid x \text{ is a multiple of 7 and } 6

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