Rhonda states that |-x| could take on any value, positive or negative due to the presence of the negative in the statement. Use complete sentences to explain why you would agree or disagree with her statement.

Question

Liana Owens

Mathematics

8 October, 16:02

Rhonda states that |-x| could take on any value, positive or negative due to the presence of the negative in the statement. Use complete sentences to explain why you would agree or disagree with her statement.

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Taylor Eaton · Answer 1

Rhonda is only half way right. Yes, it could take on any value, but it wouldn't be a negative. The absolute value is what the distance is from that number to 0 on the number line. Even though it is negative, it would still be a positive number. For example, l3l has a value of 3. In the same way, l-3l has the same value because they are both the same distance from the number line.