send solution for part e Your classmate Riley is interested in the topic of equivalence relations and equivalence classes. Letg(x) = x° – 4 x – 13,-and define a relation - on R, the set of real numbers, byif and only if9(x) = g(y) .(a) Riley wants to prove that - is an equivalence relation. Help Riley by writing your proof in the essay box below.E E E E EEquationEditorA- A- IBIUS X xParagraph -FontSizebody pWords: 0(b) Riley also wants to find the equivalence class of 0 with respect to . Help Riley by giving your answer in the boxbelow and make sure you read the syntax adviceAnswer: the equivalence class of 0 is (c) Your tutor Eric is challenging you to find a value of x such that the equivalence class of x contains only oneelement. Give your answer to Eric as a single number, for example, 1081.Answer: the equivalence class of x contains only one element if x =(d) Your tutor Eric also wants you to answer true or false and then give a brief reason for the following statement.There exists x such that the equivalence class of x contains exactly 2 elements:O TrueO FalseReason:E E E 3 =EquationO 2 EditorA- A- IBIUSX x²Paragraph -FontSizebody pWords: 0(e) Finally, your tutor Eric wants you to help your friend Riley by answering true or false and then giving a brief reasonfor the statement below.There exists x such that the equivalence class of x contains more than 20 elements:O TrueO FalseReason:需即三三三SEquationBIU S X, x画

The equation of three degree has maximum three real roots.

(e) Finally, your tutor Eric wants you to help your friend Riley by answering true or false and then giving a brief reason for the statement below. There exists x such that the equivalence class of x contains more than 20 elements: O True O False

(e) Finally, your tutor Eric wants you to help your friend Riley by answering true or false and then giving a brief reason for the statement below. There exists x such that the equivalence class of x contains more than 20 elements: O True O False

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...

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Question

send solution for part e

Your classmate Riley is interested in the topic of equivalence relations and equivalence classes. Let
g(x) = x° – 4 x – 13,
-
and define a relation - on R, the set of real numbers, by
if and only if
9(x) = g(y) .
(a) Riley wants to prove that - is an equivalence relation. Help Riley by writing your proof in the essay box below.
E E E E E
Equation
Editor
A- A- I
BIUS X x
Paragraph -
Font
Size
body p
Words: 0
(b) Riley also wants to find the equivalence class of 0 with respect to . Help Riley by giving your answer in the box
below and make sure you read the syntax advice
Answer: the equivalence class of 0 is

(c) Your tutor Eric is challenging you to find a value of x such that the equivalence class of x contains only one
element. Give your answer to Eric as a single number, for example, 1081.
Answer: the equivalence class of x contains only one element if x =
(d) Your tutor Eric also wants you to answer true or false and then give a brief reason for the following statement.
There exists x such that the equivalence class of x contains exactly 2 elements:
O True
O False
Reason:
E E E 3 =
Equation
O 2 Editor
A- A- I
BIUSX x²
Paragraph -
Font
Size
body p
Words: 0
(e) Finally, your tutor Eric wants you to help your friend Riley by answering true or false and then giving a brief reason
for the statement below.
There exists x such that the equivalence class of x contains more than 20 elements:
O True
O False
Reason:
需即三三三
SEquation
BIU S X, x
画

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