Question

2. (10 points.) A rational number can be written as p / q, where p is an integer, q is an integer, and q does not equal 0. Suppose that r_o and r_i are rational numbers, and that r_o < r_i. Prove that there is a rational number u such that ro < u < ri. Your proof must be constructive, and your answer must briefly explain why it is constructive.

(10 pouts. A n i na jn t er ean be writica as G, w yuur asur usl bricly explai hi ructivc. re ns an integer q Ls an inte er, a q 0. Sup ose ain and r are 1 tional numbers, an that <p rove that tbere Ls a fatw nal number " such that r。<p < r. Your prof must be construct ive and

Answer 1

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