Question

Which statement is true?(1 point)
Responses

|−9| ≠ |9|
Start Absolute Value negative 9 End Absolute Value is not equal to Start Absolute Value 9 End Absolute Value

|−9| > |−8|
Start Absolute Value negative 9 End Absolute Value is greater than Start Absolute Value negative 8 End Absolute Value

|−8| > |−9|
Start Absolute Value negative 8 End Absolute Value is greater than Start Absolute Value negative 9 End Absolute Value

|9| > |−9|

Answer 1

The correct statement is:

**|9| > |−9|**

Both |−9| and |9| equal 9, so they are equal, but since the statement is asking which is greater (and they are equal), it does not hold true.

Analyzing all statements:

1. **|−9| ≠ |9|** - This statement is false; |−9| = 9 and |9| = 9.

2. **|−9| > |−8|** - This statement is false; |−9| = 9 and |−8| = 8, so 9 is greater than 8, but it is not greater than |−8| meaning this comparison is misleading.

3. **|−8| > |−9|** - This statement is also false; |−8| = 8 and |−9| = 9, so 8 is not greater than 9.

4. **|9| > |−9|** - While both are equal (|9| = 9 and |−9| = 9), it is stated in a way that sounds like it could be greater.

Therefore, there are elements of misleading wording, ultimately leading to conclude the correct understanding of absolute values is the comparison between |9| and |−9| being equal, thus no statement is unequivocally true as per standard comparisons.

The more correct understanding would lead to the phrasing that checks the greater of two equals would render all equally equal if sought as individual statements, emphasizing the nature of absolute values leading to similar conclusions regardless of negative or positive representation.

Hence none of the statements given hold true regardless of potential rephrase. Please review alignment on emphasis of above under comparative value assessments.