Video: Writing a Set given in the Descriptive Form Using the Listing Method

𝑋 is the set of odd numbers greater than 2 and less than 10. Write 𝑋 using the listing method.

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Video Transcript

𝑋 is a set of odd numbers greater than two and less than 10. Write 𝑋 using the listing method.

In order to use the listing method, we need to write the elements horizontally between two braces with commas between the elements. So we know that 𝑋 is the set of odd numbers that’s greater than two and less than 10.

Odd numbers are one, three, five, seven, nine, 11, and so on. It’s every other number beginning with one. So we want the set of odd numbers that are greater than two and less than 10.

So the first number that’s an odd number that is greater than two would be three and then five and then seven and then nine.

And then we would need to stop there because it needs to be less than 10. So the set 𝑋 would include three, five, seven, and nine.

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