11 POINTSWhich of the following is a true statement? A. When comparing two integers, the integer with the greater absolute value is always the greater integer. B. When comparing two integers, the integer with the greater absolute value could be the lesser integer. C. When comparing two integers, the integer with the smaller absolute value is always the lesser integer. D. When comparing two integers, the integer with the smaller absolute value is always the greater integer.

A is not always true. Compare -10 and 3. Minus 10 is smaller than 3 even though -10 has a larger absolute value. Remember, integers include - minus numbers.

B is another way of saying what I just said for A

C is not always true. Use -3 and -10 The absolute values are 3 and 10. But -3 is larger than - 10. This is kind of sneaky. You have to try this for yourself a couple of times.

D. No! Another counterexample is 3 and 10. The absolute value of 3 and 10 is 3 and 10. These two are positive, and the example does not make D true. All you need is one exception to make something false.