Video: Finding the Intersection of Sets

Bethani Gasparine

If 𝐴 = {6, 5, 9, 1} and 𝐵 = {7, 5, 9, 8}, what is 𝐴 ∩ 𝐵?

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Video Transcript

If 𝐴 is equal to six, five, nine, one and 𝐵 is equal to seven, five, nine, eight, what is the intersection of 𝐴 and 𝐵?

This upside-down U is a symbol for intersection. And an intersection of two sets is the set of all common elements between those sets. So what elements do 𝐴 and 𝐵 have in common?

They both have five. They both have nine. Only 𝐴 has six and one. And only 𝐵 has seven and eight. Therefore the intersection of 𝐴 and 𝐵 will be the elements five and nine.

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