Is The Inequality Statement True Or False?

🔑 Key Concepts

• Substituting a value into an inequality helps determine whether the statement is true or false.
• If the inequality remains true after substitution, the value satisfies the inequality.
• If the inequality becomes false, the value does not satisfy the inequality.
• This process is called testing a solution.

✏️ Worked Examples — Determining Whether Values Satisfy an Inequality

🧠 Math Vocabulary

• Satisfy: A value makes an inequality true.
• Substitute: Replace a variable with a number.
• Solution: A value that makes an inequality true.
• Inequality: A mathematical statement using symbols such as \( < \), \( > \), \( \le \), or \( \ge \).

💡 Main Idea

To determine whether a value satisfies an inequality, substitute the value into the expression and evaluate both sides. If the resulting statement is true, the value is a solution. This process helps students connect symbolic inequalities to numerical reasoning and prepares them for graphing and solving inequalities in later lessons.

📚 What You Should Already Know

Students should already know how to evaluate expressions, substitute values into variables, and compare integers using inequality symbols.

🚀 What Comes Next

After learning how to test values in inequalities, students will begin solving inequalities algebraically and graphing their solution sets on a number line or coordinate plane.

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