Let's check every choices :
A. absolute value disregards the sign of an integer.
7 > 3, this is true.
B. 7 is farther to the right on a number line, this is true since all positive numbers are to the right of 0.
C. 7 is farther from zero, 7 is 7 units to the right of 0 and -3 is 3 units to the left of 0, therefore, this is true.
D. -3 has a greater absolute value
The absolute value of -3 is 3 which is less than the absolute value of 7, therefore this is not true.
The answer is Choice D.