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  3. 2 suppose a c r ber a and b...

Question: 2 suppose a c r ber a and b...

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2. Suppose A C R, bER, A , and b is an upper bound for A. Let cER. Set (u є R: u is an upper bound of A). (a) Prove that if c 2 b then c is an upper bound of A. (b) 1)revee il.bai, each elezxx1exti. () A ies a looeer lxDEXrM€11 (เห็ (c) Prove that A has a least upper bound u, and u is also the minimum of U. (Hint: Apply Theorem 3.15 dont forget to verify the hypotheses.) (d) Prove that if u is the minimum of U and u < u, then Anlu, u]メ0.

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