Video: Determining the Universal Set given Two Sets in Word Problems

If ๐‘‹ is the set of math teachers in a school and ๐‘Œ is the set of science teachers in the school, what could be the universal set that contains ๐‘‹ and ๐‘Œ?

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Video Transcript

If ๐‘‹ is the set of math teachers in a school and ๐‘Œ is the set of science teachers in the school, what could be the universal set that contains ๐‘‹ and ๐‘Œ?

The universal set ๐‘ข. The universal set is a set containing all elements and of which all other sets are subsets, meaning theyโ€™re within the universal set. So ๐‘‹ is the set of math teachers. And ๐‘Œ is the set of science teachers. So where could both of these teachers belong?

Hereโ€™s a Venn diagram to represent the set ๐‘‹ and ๐‘Œ, 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, ๐‘ข is the set of all teachers.

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