Saved Bookmarks
| 1. |
LetR be the real line. Consider the following subsets of the plane `RxxR`.`S""=""{(x ,""y)"":""y""=""x""+""1""a n d""0"" |
|
Answer» Correct Answer - C `T={(x,y):x-yinI}` As `0 in I`, so T is a reflexive relation If `x-yinIimpliesy-x inI` `therefore` T is symmetric also. If x - y = I and y - z = 12 Then, `x-z=(x-y)+(y-z)=I_(1)+I_(2)inI` `therefore` T is also transitive. Hence, T is an equivalence relation. Clearly, `xnex+1implies(x,x)cancelinS` `thereforeS` is not reflexive. |
|