Which statement correctly gives the solution of x² < 9?

Correct answer: −3 < x < 3

The governing concept is the relationship between a square and absolute value. For every real number x, x² < 9 is equivalent to |x| < 3, because 9 = 3². An absolute-value inequality |x| < a describes all numbers whose distance from zero is less than a; therefore it becomes −a < x < a. Substituting a = 3 gives −3 < x < 3. The endpoints are excluded because x = 3 and x = −3 both give x² = 9, not a value strictly less than 9. Option B describes numbers outside the interval, and options C and D incorrectly include the boundary values or reverse the region.