Question Video: Finding the Difference of Two Given Sets Mathematics

If 𝐴 = {12, 14, 16} and 𝐡 is the set of odd numbers less than or equal to 17, what is 𝐴 βˆ’ 𝐡?

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Video Transcript

If 𝐴 is the set of numbers 12, 14, 16 and 𝐡 is the set of odd numbers less than or equal to 17, what is 𝐴 minus 𝐡?

As 𝐡 is the set of odd numbers less than or equal to 17, it will contain the numbers 17, 15, 13, 11, and so on. We know that 𝐴 contains three elements: 12, 14, and 16. These are all even numbers. We’re asked to work out 𝐴 minus 𝐡. And we recall that this means all the elements of 𝐴 that are not elements of 𝐡.

As all three elements of 𝐴 β€” 12, 14, and 16 β€” are not elements of 𝐡, the correct answer is 12, 14, 16. In this case, 𝐴 minus 𝐡 is actually equal to 𝐴. This is because none of the elements in 𝐡 exist in 𝐴.

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