Solving Compound Inequalities
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Objective
I can solve compound inequalities and graph the solutions on a number line.
Part 1 of 4
Warm-up video
Khan Academy · 11:45Vetted channel
We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
A compound inequality has more than restriction on the set of x's that satisfy the equation.
- 2
When solving compound inequalities with 'and', the solution must satisfy both inequalities, while with 'or', the solution must satisfy at least one inequality.
- 3
Interval notation uses brackets to include the endpoint and parentheses to exclude the endpoint in the solution set.
Part 3 of 4
Practice
7 questions
What is a compound inequality?
Solve the compound inequality: 3 < x + 2 ≤ 7
Part 4 of 4
Exit ticket
Quick comprehension check
“Solve the compound inequality and graph the solution on a number line: -3 ≤ x + 1 < 5. Show all steps.”
Sample answer included in the free materials
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