(1) The absolute value of any rational number is positive (×).

Note: 0 is also a rational number, but the absolute value of 0 is still 0, and 0 is neither positive nor negative.

(2) If two numbers are not equal, the absolute values of these two numbers are not equal (×).

Note: Take a counterexample-2 and 2 are not equal, but their absolute values are both 2, and they are equal.

(3) If the absolute value of a number is equal to their opposites, then the number must be negative (×).

Explanation: If this number is 0, the absolute value of 0 is 0, and the opposite number of 0 is 0, which is consistent with the topic, but 0 is neither positive nor negative, which is inconsistent with the conclusion.

(4) Two numbers with unequal absolute values must be unequal (√).

Explanation: Any pair of examples holds.

(5) if | a | > | b |, then a > b (× x)

Note: When A is -5 and B is 2, the absolute value of A is greater than that of B. However, -5 < 2 means A < B.

(6) when a is a rational number, | a | > a (×)

Explanation: When A is 0, the absolute value of A is equal to itself, and both are 0.

You can ask if you don't understand.

Hope to adopt.