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Solving and Graphing Inequalities Joined by "And" or "Or"

Videos and solutions to help Algebra I students learn how to solve inequalities joined by "and" or "or".

New York State Common Core Math Module 1, Algebra I, Lesson 16

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Common Core For Algebra I

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

1. 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.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

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

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