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Problem 24

# If $$\mathrm{a}=\\{1,2,3,4,5)$$ and $$\mathrm{b}=\\{2,3,4,5,6\\}$$, find a n $$\mathrm{b}$$.

Expert verified
a ∩ b = $$\\{2, 3, 4, 5\\}$$
See the step by step solution

## Step 1: Write down the sets in a clear manner

Write a = {1, 2, 3, 4, 5} and b = {2, 3, 4, 5, 6}. Having the sets clearly displayed will make it easier for us to identify which elements are in both sets.

## Step 2: Compare the elements in both sets

Take each element in set a and check if it exists in set b. If it does, add that element to the intersection.

## Step 3: Find the intersection of set a and set b

Compare the elements, one by one: 1. 1 is in set a, but not in set b. 2. 2 is in both set a and set b, so 2 is added to the intersection. 3. 3 is in both set a and set b, so 3 is added to the intersection. 4. 4 is in both set a and set b, so 4 is added to the intersection. 5. 5 is in both set a and set b, so 5 is added to the intersection. 6. 6 is in set b, but not in set a. After comparing all the elements, we have the intersection of set a and set b to be {2, 3, 4, 5}. Therefore, a ∩ b = {2, 3, 4, 5}.

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