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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: 6,972 Thanks: 2293 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. 
May 3rd, 2016, 09:51 AM  #3 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 1,348 Thanks: 115 
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: 6,972 Thanks: 2293 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: 6,342 Thanks: 534 
Simple short expression: min(a,b)>c


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a>c, b>c, inequalities, write 
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