question archive Questions 2 3 4 use the following sets The three sets are: [0] = {
Questions 2 3 4 use the following sets The three sets are: [0] = {
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Questions 2 3 4 use the following sets The three sets are:
[0] = { ... -9, -6, -3, 0 , 3 , 6 , 9 , 12, .... } can be written as 3k with k = ...-2, -1, 0, 1, 2 ...
[1] = { ... -8, -5, -2, 1 , 4 , 7 , 10, 13, .... } can be written as 3k+1 with k = ...-2, -1, 0, 1, 2 ...
[2] = { ... -7, -4, -1, 2 , 5 , 8 , 11, 14, .... } can be written as 3k +2 with k = ...-2, -1 0, 1, 2 ...
Example:
-7 is in set [2] since -7 == 3(-3) + 2 NOTE: k is negative
11 is in set [2] since 11 == 3(3) + 2
-57 is in set [0] since -57 ==3(-19) + 0 NOTE: -57 == 3(-20) + 3 is incorrect WHY?
NOTE in the equation x = y mod n x is always positive regardless of the value of y; n > 0
1. (+5) Is -157 in
A. [0] B. [1] C. [2] -
2. (+5) Is 235 in
A. [0] B. [1] C. [2]
3. (+5) What is value of C in the following equation note C >= 0
C == -23 mod 7
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