NEST2025MathematicsBasics of Mathematics
Let R be the equivalence relation on N 1 = n N : n 2 defined by for m, n N 1 , m R n if m n is a rational number. Then
Options
- Am and n have the same number of distinct prime divisors whenever m R n
- Bthe number of equivalence classes is finite
- Call prime numbers are in the same equivalence class
- Dthere exists an equivalence class with finitely many elements
Correct answer
A. m and n have the same number of distinct prime divisors whenever m R n
Step-by-step solution
No Solution