Question

Select the correct answer. Which inequality is true? A. |-5| > |-7| B. |-8| < |-5| C. |9| < |7| D. |-9| > |8|

Answer 1

To determine which inequality is true, compare the absolute values of the given numbers. The correct answer is B, |-8| < |-5|.

Step-by-step explanation:

To determine which inequality is true, we need to compare the absolute values of the given numbers. Absolute value is the distance of a number from zero on the number line. In this case:

• A. |-5| is greater than |-7|, so |-5| > |-7| is true.
• B. |-8| is less than |-5|, so |-8| < |-5| is true.
• C. |9| is not less than |7|, so |9| < |7| is false.
• D. |-9| is greater than |8|, so |-9| > |8| is true.

Therefore, the correct answer is B, |-8| < |-5|.