Here's something I made in Desmos to this effect. While you cannot click the regions themselves to fill them, you can enable or disable the region by clicking the corresponding folder on the left sidebar to fill the regions.
Edit: I forgot that Actions are a thing on Desmos! I rebuilt it to have clickable regions based off of Michał Miśkiewicz's fantastic work. Check out the new clickable version here.
Answer from Cameron L. Williams on Stack ExchangeHere's something I made in Desmos to this effect. While you cannot click the regions themselves to fill them, you can enable or disable the region by clicking the corresponding folder on the left sidebar to fill the regions.
Edit: I forgot that Actions are a thing on Desmos! I rebuilt it to have clickable regions based off of Michał Miśkiewicz's fantastic work. Check out the new clickable version here.
To summarize:
@CameronWilliams' work gave me what I needed to make all the images I wanted. I am using this on desmos for that purpose.
I used those images to make a randomized problem in MyOpenMath. It's problem #990768, if you'd like to use it. (I'm using it in a quiz.)
And to help students learn more before the quiz, I point them to this geogebra page.
Videos
How do I calculate the intersection between three sets?
To calculate the intersection between three sets, A, B, and C, you can use the inclusion-exclusion principle. We assume you will know all the quantities mentioned.
- Find the cardinality of the union of all three sets (
|A ∪ B ∪ C|). - Subtract the cardinality of every single set(
|A|,|B|, and|C|). - Add the cardinality of the intersection of each pair of set (
|A ∩ B|,|A ∩ C|, and|B ∩ C|).
The result will be the cardinality of the intersection |A ∩ B ∩ C|.
What kinds of sets can I compare?
What is the symmetric difference of two sets?
The symmetric difference of two sets, A and B, is the set that contains all the elements belonging exclusively to either A or B. The corresponding logical operation is the exclusive or: when both sets exist in a given portion of the diagram, we disregard it. With higher numbers of sets in your diagram, use sum modulo 2 of the overlaps of the sets. If the overlaps are even, exclude the subset. If the overlaps are odd, include the subset.
