In particular, it is in both A and B. Thus, x is in $A cap B$. Suppose x $in A cap B cap C$. Then x is in all three of these sets. Suppose x $in A cap B$. Then either x $in A$ or x $in B$.
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So, we can write this as: x ∈ A ∩ B Now, we are given that x ∈ A ∪ B ∪ C. This means that x is in at least one of the sets A, B, or C. Show more…
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