Ramsey
2021-09-27
Caren
Skilled2021-09-28Added 96 answers
Definitions
a divides b if there exists an integer c such that b=ac
Notation: a|b
Division algorithm Let n be an integer and d a positive integer. Then there are unique integers q and r with such that
q is called the quotient and r is called the remainder
a is congurent to be b modulo m if m divides a-b. Notation: (mod m).
Solution
We need to find five integers that are in agreement with 4 modulo 12.
According to the definition of congruent modulo 12, x is congruent to 4 modulo 12, when 12 divides.
Since 12 divides possible values for x-4 are
This means that five integers that are equal to 4 when divided by 12 are 4,16,28,40, and 52.
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