Related Topics:

Lesson Plans and Worksheets for Algebra I

Lesson Plans and Worksheets for all Grades

More Lessons for Algebra I

Common Core For Algebra I

Examples, videos, and solutions to help Algebra I students learn how to solve inequalities joined by “and” or “or”.

Worksheets for Algebra I, Module 1, Lesson 16 (pdf)

Lesson 16 Student Outcomes

- Students solve two inequalities joined by “and” or “or,” then graph the solution set on the number line.
- “And” and “Or” Statements

Recall that for a statement separated by “and” to be true BOTH statements must be true.

If it is separated by “or,” at least one statement must be true.

Exit Ticket

- Solve each compound inequality for x and graph the solution on a number line.

a. 9 + 2x < 17 and 7 - 4x < -9

b. 6 ≤ x/2 ≤ 11 - a. Give an example of a compound inequality separated by “or” that has a solution of all real number.

b. Take the example from (a) and change the “or” to an “and.” Explain why the solution set is no longer all real numbers. Use a graph on a number line as part of your explanation.

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.