3.1.2 Solving Inequalities by Adding or Subtracting

Key Objectives • Use addition and subtraction to solve inequalities. • Write and graph inequalities. A one-step inequality is an inequality where one operation (addition, subtraction,

multiplication, or division) is applied to the variable. Solving a one-step inequality is much like solving a one-step equation. To solve an inequality, isolate the variable using inverse operations. For example, if a number is added to the variable, then solve the inequality by subtracting that number from both sides of the inequality. Example 1 Using Addition and Subtraction to Solve Inequalities In Example 1, Prof. Burger demonstrates solving one-step inequalities where numbers are either added to or subtracted from the variable.

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