Video: Finding Cartesian Products Using Arrow Diagrams

Use the arrow diagram below to find 𝑋 Γ— π‘Œ.

01:14

Video Transcript

Use the arrow diagram below to find 𝑋 by π‘Œ.

We want to find a list of ordered pairs describing the relationship between 𝑋 and π‘Œ. If we start here, where 𝑋 is four, when 𝑋 is four, π‘Œ can be nine. When 𝑋 is four, π‘Œ can also be three. And when 𝑋 is four, π‘Œ equals eight. When our 𝑋 coordinate’s four, we have three ordered pairs: four, nine; four, three; and four, eight.

We should follow the same process when our 𝑋 equals zero. When our 𝑋 is zero, we can have zero, nine or zero, three or zero, eight.

The set of all the relationships between 𝑋 and π‘Œ would look like this: four, nine; four, three; four, eight; zero, nine; zero, three; zero eight.

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