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\begin{array} { c } { \text { Ex. } 12 . \text { Let } A = \{ \text { real numbers } } \\ { \text { Let } R = \{ ( a , b ) : a , b \in A \text { and } a - b < 5 \} } \\ { \text { Is } R \text { an equivalence relation? Justify your answer. } } \end{array}

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