Question

Let S be a relation on the set of real numbers defined by xSy iff x^2 = y^2. a) Prove that S an equivalence relation. b) Find the equivalence class of 2.

          Let S be a relation on the set of real numbers defined by xSy iff x^2 = y^2.
a) Prove that S an equivalence relation.
b) Find the equivalence class of 2.

Added by Ricardo M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/21/2022

Step 1

Step 1: To prove that S is an equivalence relation, we need to show that it is reflexive, symmetric, and transitive. Show more…

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Let S be a relation on the set of real numbers defined by xSy if x^2 = y. a) Prove that S is an equivalence relation. b) Find the equivalence class of 2.