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Select all the integers that are congruent to $2$ modulo $7.$
1, 2, 3, 4, 5, 6, 7

 Jul 9, 2024
 #1
avatar+1256 
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Let's make some observations. 

2 modulo 7 means that it leaves a remainder of 2 when divided by 7. 

Well, let's look at the numbers

\(1, 2, 3, 4, 5, 6, 7 \)

 

Note that other than 2, other numbers leave a remainder of NOT 2. 

So our answer is just \(2\)

 

Thanks! :)

 Jul 9, 2024

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