My Math Forum Is the set [0,infinity) bounded?

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 March 22nd, 2017, 06:30 AM #1 Member   Joined: Jan 2016 From: Blackpool Posts: 95 Thanks: 2 This question sounds silly, but I was just wondering since we are saying that the elements of the set are only for numbers greater than 0. Last edited by skipjack; April 6th, 2017 at 12:16 AM.
 March 22nd, 2017, 08:00 AM #2 Senior Member   Joined: May 2016 From: USA Posts: 993 Thanks: 407 $a \in \mathbb R\ and\ 0 \le a \implies a + 1 \in \mathbb R\ and\ 0 \le a + 1.$ So there is no upper bound on that interval. There is of course a lower bound, namely zero.
 April 5th, 2017, 03:53 AM #3 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,092 Thanks: 845 And therefore, by the standard definition of "bounded", this set is not bounded.

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