Let S be the set of all real numbers and let R={(a,b):a,b∈S and a=±b}. Show that R is an equivalence relation on S.

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Let S be the set of all real numbers and let R={(a, b):a, b S

Question

Let S be the set of all real numbers and let $R = {(a, b) : a, b \in S$ and $a = \pm b}$ . Show that R is an equivalence relation on S.

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Let S be the set of all real numbers and let

R = {(a, b) : a, b \in S

and

a = \pm b}

. Show that R is an equivalence relation on S.

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Question Text

Let S be the set of all real numbers and let

R = {(a, b) : a, b \in S

and

a = \pm b}

. Show that R is an equivalence relation on S.