# Thread: List elements of the set in roster notation

1. ## List elements of the set in roster notation

{x | 2-x = 4 and x is a fraction}

The answer is -2, right? I'm only asking because the question before it asks the same thing and stipulates that x must be an integer. I have a feeling there is a trick somewhere.

2. ## Re: List elements of the set in roster notation

Originally Posted by Lexy
{x | 2-x = 4 and x is a fraction}

The answer is -2, right? I'm only asking because the question before it asks the same thing and stipulates that x must be an integer. I have a feeling there is a trick somewhere.
The integers are a subset of the rationals (fractions), so yes, the answer is x = -2.

3. ## Re: List elements of the set in roster notation

If we assume that "fraction" here is a synonym of a "rational number," then the answer is {-2}, i.e., a set. However, it seems that "fraction" here means "a rational number that is not an integer." In this case, the answer is the empty set.

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### list the elements of the set in roster notation

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