Questions and Answers
What are the objectives for solving inequalities?
Solve and graph inequalities; write and solve compound inequalities.
What is a compound inequality?
A compound inequality is a statement that combines two inequalities using 'and' or 'or'.
Solve the inequality: -12 > 24x.
x < -0.5
Solve the inequality: 2(m-3) + 7 - 4x + 9.
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Solve the compound inequality: -2 ≤ 2x - 4 < 4. What is the solution?
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Study Notes
Objectives
- Ability to solve and graph inequalities effectively.
- Skills to write and solve compound inequalities.
Key Concepts
- Compound Inequality: An inequality that combines two or more inequalities, often involving 'and' or 'or'.
Solving Inequalities
- For the inequality -12 > 24x, solving gives x < -0.5.
- Example of solution: x < -0.5 can also be expressed as x > -13 in context to a different inequality.
Specific Problems
- In the problem 2(m - 3) + 7 - 4x + 9, the solution output indicates "Never," suggesting there's no solution or the inequality is never true under provided conditions.
Graphical Representation
- For the compound inequality -2 ≤ 2x - 4 < 4, solving provides a critical value of 1.
- This indicates a range of solutions to graph, demonstrating how inequalities can visually represent solutions on a number line.
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Description
This quiz focuses on the concepts of inequalities covered in Algebra 2 A Unit 2. You will learn how to solve and graph inequalities, as well as how to write and solve compound inequalities. Test your skills with various problems and definitions related to solving inequalities.
