Let \( R \) be the real line. Consider the following \( \mathrm{P} ...

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Let \( R \) be the real line. Consider the following
\( \mathrm{P} \)
subsets of the plane \( R \times R \)
W
\( S=\{(x, y): y=x+1 \) and \( 0x2\} \)
\( T=\{(x, y): x-y \) is an integer \( \} \)
Which of the following is true?
(1) \( \mathrm{T} \) is an equivalent relation on \( R \) but \( S \) is not
(2) Neither \( S \) nor \( T \) an equivalence relation on \( R \)
(3) Both \( S \) and \( T \) are equivalence relations on \( R \)
(4) \( \mathrm{S} \) is an equivalence relations on \( R \) and \( T \) is not
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