16Hit1600
Advanced MathVery hardCounting integer solutions of a quadratic inequality

Advanced Math practice question

How many integer values of x satisfy x² < 10?

Answer: 7

x must lie strictly between −√10 and √10, that is, between about −3.16 and 3.16. The integers are −3 to 3, seven in all.

Common wrong answers

If you answered 3
3 counts only the positive integers.
If you answered 6
6 forgets zero.
If you answered 9
9 includes −4 and 4, whose squares are 16.

More Advanced Math questions

Not affiliated with the College Board. SAT is a trademark of the College Board.