1. Let's clarify the problem: finding the interval refers to determining the domain or range of a function or solving inequalities to find values where certain conditions hold true. 2. If you are finding the domain of a function, identify values where the function is defined, such as excluding values causing division by zero or negative square roots. 3. For example, for $f(x) = \frac{1}{x-2}$, the interval is all real numbers except $x = 2$, so domain is $(-\infty, 2) \cup (2, \infty)$. 4. If solving an inequality, such as $x^2 - 4 > 0$, factor it as $(x-2)(x+2) > 0$. 5. The solution intervals are where both factors are positive or both are negative, resulting in $(-\infty, -2) \cup (2, \infty)$. 6. Summarizing, to get intervals, analyze function behavior, set conditions from the problem, solve for critical points, and write intervals accordingly.