Find the number of integers $n$ that satisfy $n^2 < 64.$

8 squared is 64 so every integer whose absolute value is less than 8 satisfies the problem. 

These are –7, –6, –5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5, 6, and 7  

I count 15 of them.  

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