Z zacblack New member Joined Oct 29, 2013 Messages 2 Oct 29, 2013 #1 Prove A is a subset of B if and only if A and B' equals the empty set. Just not sure what to do here. Any help is appreciated.
Prove A is a subset of B if and only if A and B' equals the empty set. Just not sure what to do here. Any help is appreciated.
pka Elite Member Joined Jan 29, 2005 Messages 11,978 Oct 30, 2013 #2 zacblack said: Prove A is a subset of B if and only if A and B' equals the empty set. Just not sure what to do here. Any help is appreciated. Click to expand... You most show that \(\displaystyle A\cap B'=\emptyset~.\) To get you started, if \(\displaystyle x\in A\) can it be that \(\displaystyle x\notin B~?\)
zacblack said: Prove A is a subset of B if and only if A and B' equals the empty set. Just not sure what to do here. Any help is appreciated. Click to expand... You most show that \(\displaystyle A\cap B'=\emptyset~.\) To get you started, if \(\displaystyle x\in A\) can it be that \(\displaystyle x\notin B~?\)
