How to solve a compound inquality without separating

How to solve a compound inquality without separating

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve compound inequalities by isolating the variable and handling negative multiplication, which requires flipping the inequality sign. It covers rewriting inequalities for clarity and graphing the intersection of solutions. The tutorial emphasizes understanding the 'and' condition in compound inequalities and provides tips for effective problem-solving.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in isolating the variable D in the given inequalities?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why the sign must be flipped when dividing by a negative number in the context of inequalities.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How can the solution for D be expressed in terms of inequalities?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for the solution to be an 'and' statement in the context of graphing?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of graphing the inequalities for D and how to interpret the intersection of the graphs.

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