Please show all work for this discrete mathematics problem 3

Please show all work for this discrete mathematics problem.

3. Prove: there is a natural number that is greater than 2 and less than 10. (A natural number is a positive integer: 1,2, 3, etc.)

Solution

Answer:

natural numbers strart with 1 .

The Natural numbers upto 10 are:
1,2,3,4,5,6,7,8,9,10
So numbers from the above that are greater than 2 and less than 10 are:
3,4,5,6,7,8,9
So there are 6 natural numbers that is greater than 2 and less than 10
But in the problem asked about only one number
Since 3 >2 so, there is a natural that is greater than 2 and less than 10
Hence proved