How to Determine When an Absolute Value Equation Has No Solution

How to Determine When an Absolute Value Equation Has No Solution

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve absolute value equations by setting up two cases: one where the absolute value equals a positive number and another where it equals a negative number. It emphasizes that the absolute value of any number is always positive, making it impossible for an absolute value to equal a negative number. Therefore, if an absolute value equation equals a negative number, the solution is 'no solution'.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine if an absolute value equation has a solution?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why there is no solution when the absolute value equals a negative number.

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