(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.
(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.
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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Concept explainers
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
send solution for part c
Transcribed Image Text:(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
Transcribed Image Text: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
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