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

If π is the set of math teachers in a school and π is the set of science teachers in the school, what could be the universal set that contains π and π?

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### Video Transcript

If π is the set of math teachers in a school and π is the set of science teachers in the school, what could be the universal set that contains π and π?

The universal set π’. The universal set is a set containing all elements and of which all other sets are subsets, meaning theyβre within the universal set. So π is the set of math teachers. And π is the set of science teachers. So where could both of these teachers belong?

Hereβs a Venn diagram to represent the set π and π, 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, π’ is the set of all teachers.