Find the union and intersection of the following two sets: $H=\{dog,cat,hamster,goldfish\}$ and $F=\{cow,sheep,dog,horse,cat,chicken\}$.

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Lesson Parent: 
The Union and Intersection of Sets
Problem: 

Find the union and intersection of the following two sets: $H=\{dog,cat,hamster,goldfish\}$ and $F=\{cow,sheep,dog,horse,cat,chicken\}$.

Answer: 

$H\cup F=\{dog,cat,hamster,goldfish,cow,sheep,horse,chicken\}$ and $H\cap F=\{dog,cat\}$

SAMPLE SOLUTION

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Solution: 

We know that the union of the two sets is the set

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Therefore,

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The elements $dog$ and $cat$ are in both sets, but we don't need to list them twice.

Now the intersection of the two sets is the set

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The only two elements that are in both $H$ and $F$ are $dog$ and $cat$. Therefore,

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