📚 Topic Summary
Two-step inequalities are similar to two-step equations, but instead of an equals sign, we use an inequality symbol (like $>, <, \geq, \leq$). To solve them, you need to isolate the variable by performing inverse operations in the correct order. Remember that when you multiply or divide both sides by a negative number, you must flip the inequality sign! It's all about keeping the inequality balanced.
🧮 Part A: Vocabulary
Match the term with its definition:
- Term: Inequality
- Term: Variable
- Term: Coefficient
- Term: Inverse Operation
- Term: Solution Set
- Definition: A symbol (like x or y) that represents an unknown value.
- Definition: A mathematical statement that compares two expressions using symbols such as >, <, ≥, or ≤.
- Definition: The set of all values that satisfy an inequality.
- Definition: A number multiplied by a variable in an algebraic expression.
- Definition: An operation that undoes another operation (e.g., addition and subtraction).
✍️ Part B: Fill in the Blanks
To solve a two-step inequality, first, undo the ________ or subtraction by using the ________ operation. Then, undo the multiplication or ________ by using the inverse operation. Remember to ________ the inequality sign if you multiply or divide by a ________ number.
🤔 Part C: Critical Thinking
Explain, in your own words, why it is important to flip the inequality sign when multiplying or dividing by a negative number. Provide an example to support your explanation.