Which of the following statements is true?(1 point)
| − 40| ≠ |40|
| − 40| > |40|
| − 40| < |40|
| − 40| = |40
|−40| = |40| is the true statement.
The correct statement is:
| − 40| = |40|
To determine which of the following statements is true, we need to compare the absolute values of -40 and 40.
The absolute value of a number is its distance from zero on the number line. It disregards the positive or negative sign and gives us a positive value.
Let's calculate the absolute values of -40 and 40:
|-40| = 40
|40| = 40
Now, analyzing the statements:
1) |-40| ≠ |40|
This statement is false because the absolute values of -40 and 40 are equal.
2) |-40| > |40|
This statement is false because the absolute values of -40 and 40 are equal, so they are not greater than each other.
3) |-40| < |40|
This statement is false because the absolute values of -40 and 40 are equal, so they are not less than each other.
4) |-40| = |40|
This statement is true because the absolute values of -40 and 40 are equal.
Therefore, the correct statement is:
|-40| = |40|