1. The problem is to determine which integer values to use in a given mathematical context. 2. Generally, the choice of integer values depends on the problem's domain or constraints. For example, if the problem involves solving an equation or inequality, integer values are often chosen within the range where the function or expression is defined or meaningful. 3. Important rules to consider: - Check the domain of the function or expression. - Consider any restrictions given in the problem (e.g., positive integers, integers within a certain interval). - If testing integer solutions, start with integers near critical points or roots. 4. For example, if you have an equation like $x^2 - 4 = 0$, the integer values to test are those near the roots $x = \pm 2$. 5. In summary, to know what integer values to use, identify the problem's domain, constraints, and critical points, then select integers accordingly.