Hello! These are two questions I am unsure on for my homework.
Which of these symbols is used to indicate a comparison between two sets?
Work: I think it's intersection. But I don't know..
To prove that A ∪ A = A , each of the following steps can be performed ( where U indicates the universal set ).
A = ( A ∪ A ) ∩ U by the identity law of intersection
A = ( A ∪ A ) ∩ ( A ∪ A c )by the complement law for union
A = A ∪ ( A ∩ A c ) by the distributive law of union over intersection
A = A ∪ ∅ by the complement law for intersection
A =A by the identity law for union
True or False.
Work: False, because the 2 to 3rd set doesnt make sense.