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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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The universal set π’.
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The universal set is a set containing all elements and of which all other sets are subsets, meaning theyβre within the universal set.
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So π is the set of math teachers.
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And π is the set of science teachers.
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So where could both of these teachers belong?
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Hereβs a Venn diagram to represent the set π and π, the math teachers and the science teachers.
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And there may be a few teachers who teach math and science.
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So- so what could be the universal set that holds all of this?
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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.
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Therefore, π’ is the set of all teachers.