If 𝑋 is the set of math teachers in a school and 𝑌 is the set of science teachers in the school, what could be the universal set that contains 𝑋 and 𝑌?
The universal set 𝑢. The universal set is a set containing all elements and of which all other sets are subsets, meaning they’re within the universal set. So 𝑋 is the set of math teachers. And 𝑌 is the set of science teachers. So where could both of these teachers belong?
Here’s a Venn diagram to represent the set 𝑋 and 𝑌, the math teachers and the science teachers. And there may be a few teachers who teach math and science. So- so what could be the universal set that holds all of this? It would need to be all of the teachers in the school because the math teachers would be a subset of all of the teachers and the science teachers would be a subset of all of the teachers. Therefore, 𝑢 is the set of all teachers.