If an integer a is pictured on the number line, then the distance from the point on the...

If an integer a is pictured on the number line, then the distance from the point on the number line that represents the integer to the origin is . Using this idea, answer the following:

a. Explain why is the distance between the points that represent the integers a and b.

b. One way to define "less than" for integers is as follows: a < b if, and only if, a is to the left of b on the number line. Consequently, b > a if, and only if, b is to the right of a. Use these ideas to mark on a number line all integers x such that