📚 Topic Summary
Compound inequalities with "or" statements combine two inequalities. The solution includes all values that satisfy either inequality. This means if a number makes one OR the other (or both) inequalities true, it's part of the solution. Graphically, you'll see two separate solution sets on the number line, potentially moving in opposite directions. Understanding this 'either/or' condition is key to solving these types of problems.
🧠 Part A: Vocabulary
Match the terms with their definitions:
| Term |
Definition |
| 1. Inequality |
A. A statement that combines two inequalities with "or". |
| 2. Solution Set |
B. A mathematical statement showing the relationship between two values that are not equal. |
| 3. Compound Inequality |
C. The set of all values that satisfy the inequality. |
| 4. "Or" Statement |
D. Any value that makes an inequality true. |
| 5. Solution |
E. Requires that at least one condition be true. |
✍️ Part B: Fill in the Blanks
A compound inequality with an "or" statement is true if at least _____ of the inequalities is _____. To solve, solve _____ inequality _____. The solution set includes all values that satisfy _____ inequality.
💡 Part C: Critical Thinking
Explain in your own words how the solution to a compound inequality with an 'or' statement differs from a compound inequality with an 'and' statement. Give an example to illustrate your point.