nathanching2017 nathanching2017

05-03-2024
Mathematics

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True or False? Justify your answer.
1. There exists r ∈ Z such that 563617r ≡ 1 mod 9.
2. There exists s ∈ Z such that 563717s ≡ 1 mod 9.

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sleepinglea sleepinglea

05-03-2024

Answer:

True

Step-by-step explanation:

Here, we found that 563717 x 3 = 3 mod 9, which means s = 3 satisfies the congruence.

Therefore, there exists an integer s such that 563717s = 1 mod 9, making the statement true.

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