Which of the following is a true statement?
A. |–2| < |1|
B. |1| < |0|
C. |–1| < |–2|
D. |1| > |–2|
D. |1| > |-2|
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To determine which statement is true, we can compare the absolute values of the given numbers. The absolute value of a number is its distance from zero on the number line.
A. |–2| < |1|
To calculate the absolute values:
|–2| = 2
|1| = 1
Since 2 is not less than 1, statement A is false.
B. |1| < |0|
To calculate the absolute values:
|1| = 1
|0| = 0
Since 1 is not less than 0, statement B is false.
C. |–1| < |–2|
To calculate the absolute values:
|–1| = 1
|–2| = 2
Since 1 is less than 2, statement C is true.
D. |1| > |–2|
To calculate the absolute values:
|1| = 1
|–2| = 2
Since 1 is not greater than 2, statement D is false.
Therefore, the true statement is C. |–1| < |–2|.