Let A = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} Let R be the relation on A defined by $(a, b) \in R$ if and only if $a + b \equiv 0 \mod 10$.
a) List the ordered pairs in R.
b) Is R reflexive? Why or why not?
c) Is R symmetric? Why or why not?
d) Is R transitive? Why or why not?