Judgment: the absolute value of a rational number is not less than itself Judgment 2: if the absolute values of two numbers are equal, then the two numbers are opposite to each other

Judgment: the absolute value of a rational number is not less than itself Judgment 2: if the absolute values of two numbers are equal, then the two numbers are opposite to each other


Judgment 1: Yes. If it is negative: - 1, the absolute value is 1, the absolute value greater than itself. 0 is 0, and the absolute value equal to itself. 1 is 1
Judgment 2: No. if both numbers are positive, then the sum must be greater than 0 instead of equal to 0, and the opposite number is 2 numbers plus 0. For example, the absolute values of 1 and 1 are the same, but they are not opposite to each other



For any rational number A. (1) find the minimum value of 1 minus the absolute value of a plus 5. (2) find the maximum value of 4 minus the absolute value of A


For any rational number a, we can know that 1-A is also rational. The absolute value of rational number is greater than or equal to 0, + 5 is greater than or equal to 5, so the minimum value is 5
(2) the maximum absolute value of (4 minus a) is infinite if the maximum absolute value of (4 minus a) is 4