Practice - Set of Integers Divisible by 5 but not by 7
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Practice Questions
Test your understanding with targeted questions
List three integers that belong to the set S.
💡 Hint: Think of multiples of 5.
What is the first positive integer in set S?
💡 Hint: It's the smallest multiple of 5.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following integers is in set S?
💡 Hint: Look for the multiples of 5 that do not involve 7.
Is the set S countably infinite?
💡 Hint: Consider how many terms can be sequenced.
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Challenge Problems
Push your limits with advanced challenges
Show how to enumerate the first 50 elements of set S.
💡 Hint: Start from zero and count up and down in 5s, skipping those divisible by 7.
Determine if the subset of the set S consisting of positive integers is still infinite.
💡 Hint: Reflect on the pattern established from the multiples.
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Reference links
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