4. Prove whether or not the following relations RCAX A are equiva- lence relations or functions (or neither or both). If the relation R is an equivalence relation, give the equivalence classes A/R without repetition. If the relation R is a function, prove whether or not the function is 1-1 or onto its codomain A. a) Let A = [-1, 1] = {x € R : –1 < I< 1}. R= {(x, y) E A x A : |æ| + \y| = 1 or |æ| = |y|}

4. Prove whether or not the following relations RCAX A are equiva- lence relations or functions (or neither or both). If the relation R is an equivalence relation, give the equivalence classes A/R without repetition. If the relation R is a function, prove whether or not the function is 1-1 or onto its codomain A. a) Let A = [-1, 1] = {x € R : –1 < I< 1}. R= {(x, y) E A x A : |æ| + \y| = 1 or |æ| = |y|}

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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