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Basic inequality

solakis

Active member
Dec 9, 2012
352
Prove:

$A\leq B\wedge B\leq A\Rightarrow A=B$
 

Country Boy

Well-known member
MHB Math Helper
Jan 30, 2018
580
Trichotomy: Given numbers A and B, one and only one must be true:
1) A> B
2) A< B
3) A= B

Since \(\displaystyle A\le B\), A> B is not true.
Since \(\displaystyle B\le A\), A< B is not true.
 

solakis

Active member
Dec 9, 2012
352
Is the trichotomy law you are using Equivelant to the following:
$A<B\vee B<A\vee A=B$