My Math Forum Given a>c and b>c, can I write {a,b}>c?

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 May 3rd, 2016, 06:46 AM #1 Newbie   Joined: May 2016 From: Wageningen, The Netherlands Posts: 3 Thanks: 2 Given a>c and b>c, can I write {a,b}>c? Hi, is there a shorter way of writing that a>c and b>c? Can I, for example, write {a,b}>c? Thomas
 May 3rd, 2016, 07:26 AM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 6,875 Thanks: 2240 Math Focus: Mainly analysis and algebra Only if you define it first. In general, it is better to be clear than brief. Most mathematical notation outside of formal systems is there to clarify concepts. Thanks from ga34gep
 May 3rd, 2016, 09:51 AM #3 Senior Member   Joined: Nov 2010 From: Indonesia Posts: 1,232 Thanks: 112 Cam't we write it as a, b > c? Didn't some number theory books write a, b, c > 0 to show that all three variables are positive?
 May 3rd, 2016, 10:04 AM #4 Math Team   Joined: Dec 2013 From: Colombia Posts: 6,875 Thanks: 2240 Math Focus: Mainly analysis and algebra It is sometimes written like that, but care needs to be taken that it is clear. To me, it is better to say "three (strictly) positive numbers $a$, $b$ and $c$".
 May 3rd, 2016, 01:37 PM #5 Global Moderator   Joined: May 2007 Posts: 6,275 Thanks: 516 Simple short expression: min(a,b)>c Thanks from ga34gep

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