Prerequisites - P.1 - Review of Real Numbers and Their Properties - Exercises - Page 12: 13

-4 > -8 The number line is a line with 0 in the middle, all negative numbers on the left and all positive numbers on the right. So when we plot -4 and -8 on the number line, we see that -4 is on the right side of -8 and the number on the right is always greater than the number to its left. So -4 > -8. Please see figure for more understanding.

Given two numbers on the real number line. We plot two numbers on a number line say a and b. Then if a lies to the left of b then a $\lt $ b. This implies -4+8 > -8+8 which implies -4>-8.