5-2 Study Guide and Intervention Solving Inequalities Solutions

Begin by isolating the variable on one side of the equation. For example, if the inequality involves adding or subtracting terms, reverse those operations first to simplify the expression. This will give you a clearer view of how the variable behaves in relation to the constants.

Next, apply multiplication or division to both sides, making sure to reverse the inequality sign when multiplying or dividing by a negative number. This is a common step that students often overlook, so be mindful of its impact on the solution.

Once you’ve simplified the inequality, check the solution by substituting values that satisfy the equation. This ensures your answer is correct. Review any steps that may have introduced errors, especially when manipulating fractions or decimals.