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hich of the following statements is true?(1 point)

Responses

|−40| > |40|
Start Absolute Value negative 40 End Absolute Value is greater than Start Absolute Value 40 End Absolute Value

|−40| < |40|
Start Absolute Value negative 40 End Absolute Value is less than Start Absolute Value 40 End Absolute Value

|−40| = |40|
Start Absolute Value negative 40 End Absolute Value equals Start Absolute Value 40 End Absolute Value

|−40| ≠ |40|

1 answer

To evaluate the statements involving absolute values:

  1. |−40| > |40|: This is false because the absolute value of -40 is 40.
  2. |−40| < |40|: This is false for the same reason; both are equal.
  3. |−40| = |40|: This is true, as the absolute value of -40 is indeed equal to the absolute value of 40, both being 40.
  4. |−40| ≠ |40|: This is false, as we just established they are equal.

Thus, the true statement is: |−40| = |40|.