belasimpson03 belasimpson03
  • 05-09-2021
  • Mathematics
contestada

how many elements does the set A={x|x is a natural number and x is greater than 13} have

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jimthompson5910 jimthompson5910
  • 05-09-2021

Answer: Infinitely many

Explanation:

The set of natural numbers is {1,2,3,4,5,...}

Set A considers natural numbers that are larger than 13. So we'll be looking at numbers like {14,15,16,17,...}. There are infinitely many numbers here. There is no largest natural number. So that's why set A is infinitely large.

If we rephrased the "x > 13" into "x < 13", then set A in roster notation would be {1,2,3,...,10,11,12}. This would show that we have 12 items. In this case, we have a finite set.

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