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let-s-define-a-relation-R-such-that-a-R-b-a-b-is-this-relation-reflexive-symmetic-and-transitive-equivalence-relation-




Question Number 136003 by physicstutes last updated on 17/Mar/21
let′s define a relation R such that    _a R_b  ⇔ a ≤ b  is this relation reflexive, symmetic and transitive? (equivalence relation)
$$\mathrm{let}'\mathrm{s}\:\mathrm{define}\:\mathrm{a}\:\mathrm{relation}\:\boldsymbol{{R}}\:\mathrm{such}\:\mathrm{that} \\ $$$$\:\:_{{a}} {R}_{{b}} \:\Leftrightarrow\:{a}\:\leqslant\:{b} \\ $$$$\mathrm{is}\:\mathrm{this}\:\mathrm{relation}\:\mathrm{reflexive},\:\mathrm{symmetic}\:\mathrm{and}\:\mathrm{transitive}?\:\left(\mathrm{equivalence}\:\mathrm{relation}\right) \\ $$

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