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1.3 – Solving Linear Inequalities
- Solve multistep and compound inequalities.
- Graph compound Inequalities.
- Identify constraints in inequalities.
- Compound Inequality – two or more simple inequalities joined together. Can be written as a chain or as separate statements joined together with “or” or “and.”
- Empty Set – a graph with No Solution, such as -2 > x > 12. The graphs would not overlap.
|Notation for Apex Quizzes
- In Apex quizzes, use “<=” for and use “>=” for
|Graphing on the Number Line
- When graphing inequalities, you may end up with two rays (OR), a line segment (AND), a line (All Real Numbers), an empty set – nothing to graph (No Solution), or even a single ray in one direction (AND, both greater or less than).
- Inequalities on the Number Line
- Compound Inequalities with “AND“
- Compound Inequalities with “OR“
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