Question: (a) Show that if a > 0, then 1/a > 0 and 1/(1/a) = a. (b) Show that if a < b, then a <

(a) Show that if a > 0, then 1/a > 0 and 1/(1/a) = a.
(b) Show that if a < b, then a < 1/2 (a + b) < b.

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