Solving and graphing a two step absolute value inequality

Solving and graphing a two step absolute value inequality

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve absolute value inequalities and graph the solutions. It begins with setting up the inequality, then demonstrates solving it by considering two cases. The tutorial emphasizes the importance of changing the inequality sign when multiplying or dividing by a negative number. After solving, the video shows how to graph the solutions on a number line, highlighting the use of open circles for strict inequalities. The tutorial concludes with interpreting the graph to understand the solution set.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in solving an absolute value inequality?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What do you need to remember when dividing or multiplying both sides of an inequality by a negative number?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to change the sign when solving inequalities involving absolute values.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you represent the solutions on a number line for the inequality 3X - 4 > 10?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean when a circle on a number line is open versus closed?

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