Help with understanding of relations of numbers and members

In summary, The conversation discusses a question about a relation between natural numbers represented by the symbols R and N. The question involves determining if the relation meets the three properties of an equivalence relation. If one of the properties fails, an example is needed, and if all properties hold, a mathematical proof is required.
  • #1
*Jas*
Hi guys!

The question is attached!...sorry!...theres weird symbols in the question

any help would be v. much appreciated!:smile:
 

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  • #2
What don't you understand? The R just stands of the relation, the N represents the set of natural numbers, and mRn just means (I believe) that m is related to n, or (m,n) is an element of R.

To solve the question, take the 3 properties of an equivalence relation and compare them to R and see if all of them work out or (at least) one of them fails. If a requirement fails then provide an example, then you are done. If none of them fail, then prove mathematically how they all work out from the original description of R.
 

Related to Help with understanding of relations of numbers and members

1. What are relations of numbers and members?

Relations of numbers and members refer to the connections or associations between numerical values and the objects or individuals they represent. In mathematics, these relationships can be described using equations, graphs, or other mathematical models.

2. How can understanding relations of numbers and members be helpful?

Understanding relations of numbers and members can be helpful in various fields, such as science, economics, and social sciences. It allows for the analysis and prediction of patterns, trends, and behaviors, which can aid in decision-making and problem-solving.

3. What are some examples of relations of numbers and members?

Some examples of relations of numbers and members include the relationship between a person's age and their height, the correlation between temperature and air pressure, and the connection between sales and advertising costs.

4. How can one improve their understanding of relations of numbers and members?

One can improve their understanding of relations of numbers and members by studying mathematical concepts and principles, practicing problem-solving, and analyzing real-world examples. Additionally, seeking guidance from a teacher or tutor can also be beneficial.

5. Are there any common misconceptions about relations of numbers and members?

One common misconception about relations of numbers and members is that correlation implies causation. Just because two variables have a relationship does not mean that one causes the other. It is essential to consider other factors and conduct further analysis before making conclusions based on correlations.

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