Is Set A = {x ∈ Q | sqrt(2) < x < sqrt(3)} Empty?

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In summary, a "set question" is a type of question used in research and data collection that requires a specific answer or set of responses. It differs from other types of questions in that it has predetermined responses and can be used to facilitate data analysis and reduce bias. To effectively use "set questions" in research, it is important to carefully design and select them based on the research objectives and consider their limitations.
  • #1
denian
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help me with this question

determine if the set
A = { x : x [is an element of] Q | sqrt(2) < x < sqrt(3) }
is an empty set.


how to determine?
 
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  • #2
The set

[tex]
\left\{
x : x \in \mathbb{Q} \mid \sqrt{2} < x < \sqrt{3}
\right\}
[/tex]

just means "the set of all rational numbers that are between 1.41... and 1.73...

All you have to do to show this set is not empty is to provide one example of a number in the set. How about 3/2?

- Warren
 
  • #3
alrite. thank you..
 

FAQ: Is Set A = {x ∈ Q | sqrt(2) < x < sqrt(3)} Empty?

What is a "set question"?

A "set question" is a type of question used in research and data collection that requires a specific answer or set of responses. These questions are designed to gather information on a particular topic or subject and are typically used in surveys, interviews, and experiments.

How is a "set question" different from other types of questions?

A "set question" is different from other types of questions, such as open-ended or multiple-choice questions, in that it has a predetermined set of responses. This means that the respondent is limited to choosing from a specific list of answers, rather than being able to provide their own unique response.

What are the advantages of using "set questions" in research?

There are several advantages to using "set questions" in research. Firstly, they allow for easier data analysis as the responses are standardized and can be easily compared and categorized. Additionally, they can help to reduce bias in data collection as all participants are given the same set of responses to choose from.

How can "set questions" be effectively used in a research study?

To effectively use "set questions" in a research study, it is important to carefully design and select the questions based on the research objectives. The questions should be clear, concise, and relevant to the topic being studied. It is also important to ensure that the response options cover all possible answers and are not biased towards a particular outcome.

What are some potential limitations of using "set questions" in research?

While "set questions" have many advantages, they also have some limitations. One potential limitation is that they may not capture the full complexity of a topic or issue, as the responses are predetermined and may not allow for nuance or variation in answers. Additionally, if the response options are not well-designed, they may lead to inaccurate or incomplete data. Therefore, it is important to carefully consider the limitations of using "set questions" and balance them with the research objectives.

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