Question 1173190
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<font color=red>Answer: The empty set</font>
We can denote this as <font color=red>{ }</font> which is just a pair of curly braces with nothing inside it. We could also use the special symbol *[Tex \LARGE {\color{red}{\emptyset}}] to denote the empty set.


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Explanation:


Set G describes all multiples of 4. So we have: {4,8,12,16,...}
Set H describes the set of prime numbers: {2,3,5,7,11,...}
The two sets have nothing in common.


Any multiple of 4 will have 4 as a factor. The value 4 itself isn't prime. A prime number only has factors of 1 and itself. For instance, 7 is prime because the only factors of it are 1 and 7.
So this is why if you select a multiple of 4, then it won't be prime. If you select a prime number, then it won't be a multiple of 4.


Because the two sets have nothing in common, their intersection is the empty set. 
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