Answer to Question #23581 in Abstract Algebra for Paras
a) R is not an equivalence relation
b) R is an equivalence relation having one equivalence class
c) R is an equivalence relation having two equivalence class
d) R is an equivalence relation having three equivalence class
xRy and yRx as x+y=y+x
xRy and yRz implies xRz as in this case all x,y,z are either odd either even.
c) true . All integers can be divided into 2 groups: even numbers and odd. Theninside any these groups all their elements are equivalent.
Need a fast expert's response?Submit order
and get a quick answer at the best price
for any assignment or question with DETAILED EXPLANATIONS!