understand what ∪n∈NUn = (0, 2) ⊃ (0, 1] means [closed]

real-analysis probability-theory analysis discrete-mathematics

It means the set of values present in at least one of the sets $U_n$ (for $n$ a positive integer) is the set of values strictly between $0$ and $2$, and this in turn includes all positive values $\le1$.

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