(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.

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send solution for part c
(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:(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
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
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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