SOLUTION: Hi! I'm having trouble to understand this, please do help me on finding the truth value of this: The set of multiples of 6 is a subset of the set of set of multiples of 24. (It's

Question 836135: Hi! I'm having trouble to understand this, please do help me on finding the truth value of this:
The set of multiples of 6 is a subset of the set of set of multiples of 24. (It's really 'set of set')
Will really appreciate!
Found 2 solutions by KMST, Theo:
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
That "set of set" in the wording does not make sense.
I expect it is a typo.
Maybe they meant to say "is a subset of (a set of the set of) the set of multiples of 24" and something got lost in translation and transcription. of the idea.
That said, without that extra "set of", it is not true that the set of multiples of 6 is a subset of the set of multiples of 24.
It is the other way around; the set of multiples of 24 is a subset of the set of set of multiples of 6.
All multiples of 24 are multiples of 6, but there are multiples of 6 that rare not multiples of 24.
The set of multiples of 24 is made up of 24,48,72, etc.
Along with those multiples of 24, the set of multiples of 6 includes 6, 18, 30, 36, 54, 60, and an infinite number of other multiples of 6 that are not multiples of 24.

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let's take a look at multiples of 24.
you have 24, 48, 72, 96, etc.
we'll call this set A.

let's take a look at multiples of 6.
you have 6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96, etc.
we'll call this set B.
you can see that every element in set A is contained in set B, but not every element in set B is contained in set A.

this means that set A is a subset of set B, but set B is not a subset of set A.

the statement that says that the set of multiples of 6 is a subset of the set of multiples of 24 is false because every element in the set of multiples of 6 is not contained in the set of multiples of 24.

in fact, it's the other way around.
the set of multiples of 24 is a subset of the set of multiples of 6 because every element in the set of multiples of 24 is also contained in the set of multiples of 6.

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