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How to solve set theory equation question

Mathematics Asked on February 28, 2021

The universal set $U = {text{natural numbers from $1$ to $100$}} cdot X subseteq U cdot n(X) = 12.$ Determine $n(X’).$

Since $X$ is the subset of the universal set from natural numbers from $1$ to $100$ you simply subtract $100 -cdot (12) = 88.$

So $n(X’)=88.$

One Answer

$U$ has $100$ elements. $X$ which is a subset of $U$ has $12$ elements. $X'$ (I assume this means the complement of $X$ (in the universe $U$), it's a notation I've seen before) thus has $100-12= 88$ elements. So $n(X')= 88$.

Answered by Henno Brandsma on February 28, 2021

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