What is a Distinct Number in Logic?

[kmikias]

Homework Statement

What is a distinict number.

Homework Equations

I try to search online and some website doesn't explain it well.

The Attempt at a Solution

Does it mean a perfect number like the number six.
(1+2+3+6)/2 = 6

 

[tiny-tim]

Hi kmikias!

"Distinct" is another word for "different" …

two or more numbers are distinct if they are different.

What book did you find this in?

 

[kmikias]

I was doing Homework on my discrete mathematics class.(Extending the frontier of mathematics Book)
and the question was to prove and extend this statement
"If the average of four distinict integer is 94 ,then at least one of the integer must be greater than or equal to 97."

so you are saying any two or more number are distinict like 4,5 and 6

 

[Simon.T]

It means that each of the 4 numbers is different. Or to put another way, no two numbers are the same.

I am confused though, because (92+93+95+96)/4=94 and those are distinct, and none are greater than 97 (the statement is false?)

 

[kmikias]

It means that each of the 4 numbers is different. Or to put another way, no two numbers are the same.

I am confused though, because (92+93+95+96)/4=94 and those are distinct, and none are greater than 97 (the statement is false?)

Hi Simon.T

Thanks ,I think I got it now.
I am actually doing logic and arguing the case through proof.so it doesn't matter if the statement is true or not. and you are right the statement seems false with the example your provided.

thanks I appreciate that