Consider the set C = {x | x is an even natural number less than 20}. Find the intersection of set C with the set D = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30}. CD = {____}
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to work with set-builder notation and the intersection of sets. The student must identify the elements of set C and then find the common elements between C and D.
Key Concept Explanation
Set-builder notation: A way to describe a set by stating the properties that its members must satisfy.
Intersection (A B): The set of all elements that are common to both A and B.
Step-by-step Solution
1. Identify the elements of set C: C = {2, 4, 6, 8, 10, 12, 14, 16, 18}
2. Find C
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