Identifying elements in the set from a given condition

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Math100
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Homework Statement
Write each of the following sets by listing their elements between braces.
Relevant Equations
None.
Please confirm the answer, I've boxed around my answer. I want to make sure if this is the correct answer. Thanks.
 
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  • Handwritten solution to problem 12: the set of integers x with |2x| < 5, solved by splitting into 2x < 5 and 2x > -5, giving -5/2 < x < 5/2, and the boxed answer {-2, -1, 0, 1, 2}.
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Written a bit strange, and assuming that ##\mathbb{Z}## is indeed the general set the ##x## are taken from, it is correct.
 
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fresh_42 said:
Written a bit strange, and assuming that ##\mathbb{Z}## is indeed the general set the ##x## are taken from, it is correct.
It's ℤ, just like you said. Thank you so much for confirming!
 
FactChecker said:
I think this is a fairly standard form of the set-builder notation. https://en.wikipedia.org/wiki/Set-builder_notation#Examples
I meant the arrangements, not the sets. One could have also divided by two directly in the first condition. And the snake for AND is certainly not standard.
 
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fresh_42 said:
I meant the arrangements, not the sets. One could have also divided by two directly in the first condition. And the snake for AND is certainly not standard.
Sorry. I misunderstood what you were objecting to. Now I see that you were referring to the calculations. I assumed that the "snake" is just meant to separate the two columns of calculations, not a mathematical symbol.
 
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