📝 Practice Worksheets
🔑 Key Concepts
- Adding or subtracting the same number from both sides does not change the inequality sign.
- Multiplying or dividing both sides by a positive number does not change the inequality sign.
- Multiplying or dividing both sides by a negative number reverses the inequality sign.
- The inequality sign must flip to keep the statement true.
💡 Main Idea
Inequalities follow the same rules as equations, except when both sides are multiplied or divided by a negative number. This reverses their order on the number line, so the inequality sign must flip to keep the statement true.
🧠 Math Vocabulary
- Inequality: A mathematical statement that compares two values using symbols such as \(>\), \(<\), \(\ge\), or \(\le\).
- Equivalent inequality: An inequality that has the same solution as the original inequality.
- Opposite numbers: Numbers that are the same distance from zero but on opposite sides of the number line.
- Reverse the inequality sign: Change the direction of the inequality symbol when multiplying or dividing by a negative number.
📚 What You Should Already Know
Students should understand how to solve basic equations, use inverse operations, and identify positive and negative numbers on a number line.
🚀 What Comes Next
After learning why the inequality sign sometimes flips, students will apply this rule to solve one-step and multi-step inequalities and graph their solutions on a number line.
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