1. Tardigrade
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  3. Mathematics
  4. Let R be the real line. Let the relations S and T on R be defined by S= (x, y): y=x+1,0< x< 2 T= (x, y):(x-y) is an integer . Then

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Q. Let $R$ be the real line. Let the relations $S$ and $T$ on $R$ be defined by $S=\{(x, y): y=x+1,0< x< 2\}$, $T=\{(x, y):(x-y)$ is an integer $\} .$ Then

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Solution:

$T$ is an equivalence but $S$ is not