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Why do you think there are no solutions to |x| = -2

2 Answers

6 votes

Answer:

because |x| changes anything into positive thus, it cannot give you a negative result.

User Jim Ho
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7 votes

Answer: Positive ≠ Negative

Explanation:

|x| is the absolute value of an unknown number. Absolute value represents distance so it will always be a positive number.

|2| = 2 and |-2| = 2

Since the absolute value will always be a positive number regardless of what the x-value is, then we can understand the equation to be:

|x| (a positive number) = -2 (a negative number)

There is no positive number that will equal a negative number so there are NO Solutions

User Imari
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5.1k points