Solving Compound Inequalities
Learning Objective
I can solve compound inequalities and graph the solutions on a number line.
Key Concepts
A compound inequality has more than restriction on the set of x's that satisfy the equation.
When solving compound inequalities with 'and', the solution must satisfy both inequalities, while with 'or', the solution must satisfy at least one inequality.
Interval notation uses brackets to include the endpoint and parentheses to exclude the endpoint in the solution set.
Practice Questions
This lesson includes 7 practice questions to reinforce learning.
View questions preview
1. What is a compound inequality?
2. Solve the compound inequality: 3 < x + 2 ≤ 7
3. What does the word 'and' mean when solving compound inequalities?
...and 4 more questions
Educational Video
Compound inequalities | Linear inequalities | Algebra I | Khan Academy
Khan Academy