help pls Find the number of integers $n$ that satisfy $n^2 < 100.$
1,2,3,4,5,6,7,8,9
1^2=1
2^2=4
3^2=9
4^2=16
5^2=25
6^2=36
7^2=49
8^2=64
9^2=81
take square root both sides
\(n<10\)
but that is the positive square root,
\(-10 n is between the negative and positive square root of 100.
Thus, \(n={{-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9}}\)