Suppose we define a relation ~ on the set of nonzero real numbers R* = R\{0}...
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Suppose we define a relation ~ on the set of nonzero realnumbers R* = R\{0} by for all a , b E R*, a ~ b if and only ifab>0. Prove that ~ is an equivalence relation. Find theequivalence class [8]. How many distinct equivalence classes arethere?
Suppose we define a relation ~ on the set of nonzero realnumbers R* = R\{0} by for all a , b E R*, a ~ b if and only ifab>0. Prove that ~ is an equivalence relation. Find theequivalence class [8]. How many distinct equivalence classes arethere?
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