Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
On the set of integers
Z
\mathbb Z
Z
, define a relation
R
R
R
by
a
R
b
a\,R\,b
a
R
b
if and only if
a
+
b
a+b
a
+
b
is even. Verify that
R
R
R
is transitive.
Browse the problem library