Set theory - set builder notation

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SUMMARY

The discussion centers on set theory, specifically set builder notation, with two defined sets: X={8^n-7n-1/n | n ∈ N} and Y={49(x-1)/x | x ∈ N}. Participants emphasize the importance of distinguishing between lowercase and uppercase letters in mathematical notation. The conversation encourages the user to generate examples from sets X and Y to facilitate understanding and problem-solving. The underlying message stresses the necessity of active engagement in learning mathematics rather than passively posting questions.

PREREQUISITES
  • Understanding of set theory concepts
  • Familiarity with set builder notation
  • Basic knowledge of natural numbers (N)
  • Ability to manipulate algebraic expressions
NEXT STEPS
  • Explore examples of set builder notation in various mathematical contexts
  • Learn how to generate elements from defined sets
  • Study the properties of subsets and set equality
  • Review common pitfalls in mathematical notation and terminology
USEFUL FOR

Students studying mathematics, particularly those focusing on set theory, educators teaching mathematical notation, and anyone looking to improve their problem-solving skills in algebra.

nirajnishad
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Homework Statement


X={8^n-7n-1/n belongs to N}
Y={49(x-1)/x belongs to N}

Homework Equations


Then,
x is subset of y ] or y is subset of x
or x=y,none of these
 
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You have now posted 3 different, but similar, problems with no sign of any attempt to solve them on your part. You can't learn mathematics that way! Are you able to list some numbers that are in sets X and Y.

(By the way, in mathematics, "x" and "y" may be quite different from "X" and "Y". Don't use small letters and Capital letters interchangabley.)
 


niraj, could you please show what approach you are going to take to solve it?

I'm assuming you don't have to proof any of those claims. Hence, you can start by doing some examples. I think you will realize this problem is much easier than you think!
 

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