 Solution

ID: past-exam-of-the-options-ii-course-of-the-university-of-oxford/2008-printed-variant/e/e4/a/solution

In the usual real line, take

F_{n} = [n, \infty)

for

n \geq 1

. The sets are closed, nonempty and nested, but no real number belongs to all of them.

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