Math Problem Statement
If P = {-2, 0, 2, 4, 6} and Q = {-3, -1, 0, 2, 3, 5}, find the set P ∩ Q.
Solution
The problem states:
Given two sets and , find the intersection of and , denoted as .
Solution:
The intersection of two sets includes only the elements that are common to both sets and .
- Set
- Set
Now, let's find the common elements:
- Both sets contain and .
Thus, the intersection of and is:
Would you like further details or have any questions?
Here are 5 related questions:
- How do you find the union of two sets?
- What is the complement of a set?
- How can Venn diagrams help visualize set operations?
- What is the difference between intersection and union in set theory?
- How do you find the difference between two sets?
Tip: In set theory, the intersection operation is commutative, meaning .
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Set Theory
Intersection of Sets
Formulas
P ∩ Q = {x | x ∈ P and x ∈ Q}
Theorems
Commutative Property of Intersection
Suitable Grade Level
Grades 6-8