Solve A 2-Step Inequality

📝 Practice Worksheets

Graphing Multi-Step Inequalities Solving Inequalities Solving Inequalities Inequality Word Problems

🛠️ Related Tool

Inequality Graphing Explorer

🔑 Key Concepts

Solving an inequality is similar to solving an equation.
You can add, subtract, multiply, or divide both sides by the same number.
If you multiply or divide by a negative number, you must reverse the inequality symbol.
The solution to an inequality represents a range of possible values.
The goal is to isolate the variable on one side of the inequality.

✏️ Worked Examples — Solving Inequalities Step-by-Step

🧠 Math Vocabulary

Inequality: A mathematical statement comparing two expressions using symbols like >, <, ≥, or ≤.
Solution: A value that makes the inequality true.
Reverse the inequality: Change the direction of the symbol when multiplying or dividing by a negative number.
Variable: A symbol that represents an unknown number.
Isolate: To get the variable by itself on one side.

💡 Main Idea

Solving inequalities involves performing inverse operations to isolate the variable. The key difference from solving equations is remembering to reverse the inequality symbol when multiplying or dividing by a negative number.

🚀 What Comes Next

After solving inequalities, students will learn how to graph solutions on a number line, solve compound inequalities, and apply inequalities to real-world problem situations.