glebovg Messages 156 Reaction score 0 Thread starter Jan 23, 2012 #1 Does anyone know if this is true [itex]A \bigcap B^{c} = \emptyset \Leftrightarrow A \bigcup B^{c} = U[/itex] ?
Does anyone know if this is true [itex]A \bigcap B^{c} = \emptyset \Leftrightarrow A \bigcup B^{c} = U[/itex] ?
PAllen Science Advisor Insights Author 2025 Award Messages 9,573 Reaction score 2,692 Jan 23, 2012 #2 It's obviously false. You should readily be able to find a counter example even for U being a set of cardinality 3.
It's obviously false. You should readily be able to find a counter example even for U being a set of cardinality 3.