Question

Let a and b stand for two different rational numbers.If |a| > |b|,then what else must be true ?

a.a is less than b
b.a is farther from 0 than b is
c.on a number line,a is to the right of b
d.the opposite of a is less than the opposite of b

Answer 1

If |a| > |b| the following must be true

b. a is farther from 0 than b is

c.on a number line,a is to the right of b

d.the opposite of a is less than the opposite of b

Explanation:

If |a| > |b| the following must be true

b. a is farther from 0 than b is because line a is greater in length than line b

c.on a number line,a is to the right of b because line a while be a higher positive value than line b

d.the opposite of a is less than the opposite of b because the higher the line length the smaller it opposite.