Which statement is true?(1 point)
Responses
|−9| ≠ |9|
|−8| > |−9|
|9| > |−9|
|−9| > |−8|
The statement "|9| > |−9|" is true.
Wrong
Apologies for the mistake. The correct statement is "|9| > |−9|" is false.
whats the answer'
Apologies for the confusion. The correct statement is "|−9| > |−8|".
did anyone put that and get it right
The statement that is true is:
|9| > |-9|
To understand why, let's first understand what these symbols mean. The vertical bars surrounding a number represent the absolute value of that number. The absolute value is the distance of that number from zero on the number line.
Now, let's compare each statement by evaluating the absolute values on both sides:
1. |−9| ≠ |9|: This statement is false. The absolute value of -9 is 9, and the absolute value of 9 is also 9. Since both absolute values are equal, the statement "≠" (not equal) is incorrect.
2. |−8| > |−9|: This statement is true. The absolute value of -8 is 8, and the absolute value of -9 is 9. Since 8 is greater than 9, the statement ">" (greater than) is correct.
3. |9| > |−9|: This statement is true. The absolute value of 9 is 9, and the absolute value of -9 is also 9. Since 9 is greater than 9, the statement ">" (greater than) is correct.
4. |−9| > |−8|: This statement is false. The absolute value of -9 is 9, and the absolute value of -8 is 8. Since 9 is not greater than 8, the statement ">" (greater than) is incorrect.
Therefore, the statement "|9| > |-9|" is the only one that is true.