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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

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

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

1 answer

The correct statement is:

|9| > |−9|

This is true because the absolute value of 9 is 9 and the absolute value of -9 is also 9, so |9| = 9 and |−9| = 9. Therefore, |9| is equal to |−9|, making the statement take the form of "9 > 9", which is false!

Hence, the other statements should be analyzed as follows:

  1. |−9| ≠ |9|: False because |−9| = |9| = 9.
  2. |−8| > |−9|: False because |−8| = 8 and |−9| = 9, thus 8 is not greater than 9.
  3. |−9| > |−8|: False because |−9| = 9 and |−8| = 8, hence 9 is greater than 8.

So ultimately, none of the statements are true in terms of providing an inequality where one side is strictly greater or less than the other.