discrete math 6. Define the floor [x] of a real number a to be "a rounded down", in otherwords, the greatest integer less than or equal to x:[x] = max{m | m = Z, m ≤ x}For instance, [-2] = −2, [1.74] = 1, and [π] = 3.Define the relation S on the set R of all real numbers:S = {(x, y) | [x] = [y]}.For instance, (π, 3.7) = S, because the floor of both is 3.Describe the equivalence classes of R under S. You will not be able to list themout, but you should be able to name a few and tell that there is one equivalenceclass for each...

A relation S defined as S = {(x, y) | [x] = [y]} on the set of real numbers R is given, which is an…

6. Define the floor [x] of a real number x to be "a rounded down", in other words, the greatest integer less than or equal to : [x] = max{m | m = Z, m ≤ x} For instance, [-2] = -2, [1.74] = 1, and [] = 3. Define the relation S on the set R of all real numbers: = {(x, y) | [x] = [y]}. For instance, (π, 3.7) = S, because the floor of both is 3. Describe the equivalence classes of R under S. You will not be able to list them out, but you should be able to name a few and tell that there is one equivalence class for each...

6. Define the floor [x] of a real number x to be "a rounded down", in other words, the greatest integer less than or equal to : [x] = max{m | m = Z, m ≤ x} For instance, [-2] = -2, [1.74] = 1, and [] = 3. Define the relation S on the set R of all real numbers: = {(x, y) | [x] = [y]}. For instance, (π, 3.7) = S, because the floor of both is 3. Describe the equivalence classes of R under S. You will not be able to list them out, but you should be able to name a few and tell that there is one equivalence class for each...

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.6: Inequalities

Problem 79E

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