When you are presented with an inequality that you are evaluating it is good to remember that if you subtract or add the same number from both sides of the inequality, the truth value does not change at all. You can easily rearrange the inequality to get closer to determining a solution for the inequality. The lessons found below with help you understand the process of forming a solution pretty quickly.

Tips for Solving These Types of Inequalities - We all know what expressions are in mathematics. These combine constants, variables, and arithmetic operations. Add an equals-to sign, and you get an equation. Then there are inequalities where the equals-to sign is replaced by an inequality sign such as "greater than," "less than," "greater-than-equal-to," and "less-than-or-equal-to." So, how do we solve inequalities? We can solve inequalities using addition and subtraction. How? Let us see. For this, you need to know the addition and subtraction properties. Addition Properties - If a > b , then a + c > b + c. If a < b, then a + c< b + c. If a ≥ b, then a + c ≥ b + c. If a≤b, then a + c ≤ b + c. Subtraction Properties - If a > b, then a - c > b - c. If a < b, then a - c < b- c. If a ≥ b, then a - c ≥ b - c. If a ≤ b, then a - c ≤ b - c. The first step, in this case, is to isolate the variable, and you can do that by applying the addition or subtraction inequalities. Make isolation of the variable your ultimate goal, and things will get easy for you. These worksheets explain how to balance equations with inequalities using addition and subtraction. While mechanics of the operations are covered, students should already be somewhat familiar with the subject matter.