Sets: A,B,C - Intersection & Difference

In summary, Sets A, B, and C are groups of elements or objects denoted by curly braces and separated by commas. The intersection of sets A and B is the set of common elements represented by the symbol ∩. The difference between sets A and B is the set of unique elements represented by the symbol \.
  • #1
Fermat1
187
0
Am I right in thinking that if we have 3 sets A,B,C, then with A intersect B represented as AB, we have:

A(B\C)=(AB)\C=B(A\C)?
 
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  • #2
Yes. This follows from the definition of set minus.
 
  • #3
All three sets equal $A\cap B\cap\bar{C}$ where $\bar{C}$ is the complement of $C$.
 

1. What are sets A, B, and C?

Sets A, B, and C are groups of elements or objects. They can be numbers, letters, or even other sets. Each set is denoted by curly braces { } and the elements are separated by commas.

2. What is the intersection of sets A and B?

The intersection of sets A and B is the set of elements that are common to both sets. In other words, it is the elements that are present in both sets A and B.

3. How is the intersection of sets A and B represented?

The intersection of sets A and B is represented by the symbol ∩.

4. What is the difference between sets A and B?

The difference between sets A and B is the set of elements that are present in set A but not in set B. In other words, it is the elements that are unique to set A.

5. How is the difference between sets A and B represented?

The difference between sets A and B is represented by the symbol \. So the difference of set A and B would be written as A \ B.

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