Final answer:
In the given expressions, a > b indicates that the value of a is greater than the value of b on the number line. |a| > |b| indicates that the absolute value of a is greater than the absolute value of b. |a| > b indicates that the absolute value of a is greater than b.
Step-by-step explanation:
In the given expressions, a > b indicates that the value of a is greater than the value of b on the number line. For example, if a is 5 and b is 3, then a > b is true because 5 is indeed greater than 3.
|a| > |b| indicates that the absolute value of a is greater than the absolute value of b. Absolute value is the distance of a number from zero on the number line without considering its sign. For example, if a is -3 and b is 2, then |a| > |b| is true because the absolute value of -3 is 3 which is greater than the absolute value of 2.
|a| > b indicates that the absolute value of a is greater than b. For example, if a is -5 and b is 3, then |a| > b is true because the absolute value of -5 is 5 which is greater than 3.