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May 3rd, 2016, 06:46 AM   #1
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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?
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May 3rd, 2016, 07:26 AM   #2
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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.
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May 3rd, 2016, 09:51 AM   #3
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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?
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May 3rd, 2016, 10:04 AM   #4
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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 $c$".
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May 3rd, 2016, 01:37 PM   #5
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Simple short expression: min(a,b)>c
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