The true statement is:
|−8| > |−9|
The absolute value of −8 is 8, and the absolute value of −9 is 9. Since 8 is less than 9, this statement:
|−8| > |−9|
is actually false. The true statement here should be:
|−8| < |−9|
Let's correct the provided options and find which one is actually true.
1. |−9| ≠ |9| (This is false because |−9| = 9 and |9| = 9 so they are equal.)
2. |−9| > |−8| (This is true because the absolute value of −9 is 9 and the absolute value of −8 is 8, and 9 is greater than 8.)
3. |9| > |−9| (This is false because |9| = 9 and |−9| = 9, so they are equal and not greater.)
4. |−8| > |−9| (As discussed, this is false because 8 < 9.)
Therefore, the true statement is:
|−9| > |−8|
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
|9| > |−9|
Start Absolute Value 9 End Absolute Value is greater than Start Absolute Value negative 9 End Absolute Value
|−8| > |−9|
1 answer