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  3. t1 consider the following profsquot that b is bounded above...

Question: t1 consider the following profsquot that b is bounded above...

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Consider the following profs that B is bounded above and not bounded below, and select the proofs which are correct Proof that B is not bounded below. Let MER. If M 20, then taking -1 1/(-2+1) e B we have -1<Mso that M is not a lower bound for B. N suppose M <0. Take 1/(2M)-1 which has <-1 (as 1/2M <0) so M is not a lower bound for B. Therefore B is not bounded below. Proof that B is not bounded below. Let MER. If M 20, then taking -1 1/(-2+1) E B we have -1M so that M is not a lower bound for Now suppose M <0. Take 2/M -1 which has <-1 (as 2/M<) and 1/r 1)M/2<M, so M is not a lower bound for B. Therefore is not bounded below Proof that B is bounded above. For x<-1, we have so that B is bounded above Proof that B is not bounded below. Suppose that M E R is a lower bou for B. Then as- 1/-2+1) E B, we have M -1. Now take ER with -1> -1/M so that This is a contradiction, and so B is not bounded below None of these proofs are correct. Proof that B is bounded above. For x<-, we have 1<+1 so that Therefore Bis bounded above by l

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