What can you say about sets A and B if you know that.
1)A U B = A?
2)A �¿ B = A?
3)A - B = A?
1. A ⊇ B , B is a subset of A
2. not familiar with the operator ¿ in sets
3. Did not know that "-" was an operator with sets
I assume 2) is intersection
If the intersection of A and B = A, then A is a subset of B.
A-B is the members of A that are not in B. If that is equal to A, then B is empty.
Hmmm. On that last one, A-B=A means that A and B are disjoint, or B is empty.
1) If A U B = A, it means that the union of sets A and B is equal to set A. In other words, every element that is in either A or B is also in A. One possible conclusion from this statement is that set B is a subset of set A, because if B contained any elements that were not in A, the union of A and B would not be equal to A. Therefore, you can say that set B is a subset of set A.
2) If A �¿ B = A, it means that the set difference (also known as relative complement) of A and B is equal to A. In other words, every element in A that is not in B is still in A. This implies that set B does not have any elements that are exclusive to B and not present in A. So, you can say that set B is a subset of A or that set A contains all the elements of B.
3) If A - B = A, it means that the set difference of A and B is equal to A. In other words, removing the elements of set B from set A still leaves us with set A. From this, we can conclude that every element of A doesn't belong to B. So, you can say that set B is an empty set, because if B had any elements, removing them would change the set A, making the difference A - B not equal to A. Therefore, you can say that set B is an empty set or that A contains no elements of B.