Assume that n^2 is divisible by 3. Does it follow that n is divisible by 3

Hello,

We can work in three different cases which cover all the possibilities for n

Case 1 - We can find k such that n = 3k-1

Case 2 - We can find k such that n = 3k

Case 3 - We can find k such that n = 3k+1

So, the only case where is divisible by 3 is actually when n is divisible by 3, so if   is divisible by 3 , n is divisible by 3

Thanks

a.for lorena 14 hours makes $126   for 16 hours she makes 144

for julie 6 hours makes $72 for 21 hours its $252

b. julie makes more money than lorena julie makes $12 an hour and lorena makes $9  

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