(a)
To find the value
(a)
Answer to Problem 1E
Explanation of Solution
Given information: Equivalence class under congruence modulo 7 is
Formula used: Definition congruence modulo m.
For
Calculation:
(b)
To find the value
(b)
Answer to Problem 1E
Explanation of Solution
Given information: Equivalence class under congruence modulo 7 is
Formula used: Definition of congruence modulo m.
For
Calculation:
c.
To find
c.
Answer to Problem 1E
Explanation of Solution
Given information: Equivalence class under congruence modulo 7is
Formula used: Definition of congruence modulo m.
For
Calculation:
d.
To find
d.
Answer to Problem 1E
Explanation of Solution
Given information: Equivalence class under congruence modulo 7is
Formula used: Definition of congruence modulom.
For
Calculation:
e.
To find the value
e.
Answer to Problem 1E
Explanation of Solution
Given information: Equivalence class under congruence modulo 7 is
Formula used: Definition of congruence modulo m.
For
Calculation:
f.
To find
f.
Answer to Problem 1E
Explanation of Solution
Given information: Equivalence class under congruence modulo 7is
Formula used: Definition of congruence modulo m.
For
Calculation:
h.
To find
h.
Answer to Problem 1E
Explanation of Solution
Given information: Equivalence class under congruence modulo7 is
Formula used: Definition of congruence modulom.
For
Calculation:
∴
i.
To find
i.
Answer to Problem 1E
Explanation of Solution
Given information: Equivalence class under congruence modulo 7 is
Formula used: Definition of congruence modulom.
For
Calculation:
∴
j.
To find
j.
Answer to Problem 1E
Explanation of Solution
Given information: Equivalence class under congruence modulo7 is
Formula used: Definition of congruence modulo m.
For
Calculation:
∴
k.
To find
k.
Answer to Problem 1E
Explanation of Solution
Given information: Equivalence class under congruence modulo 7 is
Formula used: Definitionof congruence modulom.
For
Calculation:
∴
l.
To find
l.
Answer to Problem 1E
Explanation of Solution
Given information: Equivalence class under congruence modulo 7 is
Formula used: Definition of congruence modulo m.
For
Calculation:
∴
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Chapter 3 Solutions
A Transition to Advanced Mathematics