Problem 21
Question
Find the intersection of the sets. $$\\{1,2,3,4\\} \cap\\{2,4,5\\}$$
Step-by-Step Solution
Verified Answer
The intersection of the sets {1,2,3,4} and {2,4,5} is {2,4}.
1Step 1: Identify the Elements in Both Sets
Start by identifying the elements in the first set, which are, {1,2,3,4}, and the elements in the second set, which are {2,4,5}.
2Step 2: Identify Common Elements
Upon inspection, we can observe that the numbers '2' and '4' are shared between both sets. These are the numbers that exist in both sets.
3Step 3: Formulating the Intersection Set
The intersection of the sets is hence formed by the common elements of the two sets, which are '2' and '4'. Therefore, the intersection of these two sets is {2,4}.
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