A number is at least 8 units from 4

Answer 1

Hi, Evie!

This looks like an absolute value problem.

A number is at least 8 units from 4

Let x= a number

at least : >=

You want to find a number subtracted from 4 that will be at least 8

| x-4 | >= 8

Next break it up into two inequalities.

x-4 >= 8 OR x-4 <= -8 |8| and | -8 | =8

Now solve for x

x-4 >= 8 x - 4 <= -8

+4. +4. +4. +4

x >= 12 X <= -4

<—————]—————————————[——————>

......-6 -5. -4 0 4 12 13 14 15...