8. Suppose we want to choose an element from each interval of {(ai, bi)}i1, where a...

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8. Suppose we want to choose an element from each interval of {(ai, bi)}i1, where a < b, simulta- neously. Give a way of doing this that does not require the Axiom of Choice. 9. Suppose we want to choose an element from each interval of {(a, )}i simultaneously. If possible, give a way of doing this that does not require the Axiom of Choice. 8. Suppose we want to choose an element from each interval of {(ai, bi)}i1, where a < b, simulta- neously. Give a way of doing this that does not require the Axiom of Choice. 9. Suppose we want to choose an element from each interval of {(a, )}i simultaneously. If possible, give a way of doing this that does not require the Axiom of Choice.