Question

describe all numbers x that are at a distance of 1 from the number 10. express this using absolute value notation

Answer 1

Absolute value notation

We want to find an equation that expresses the following graph

The distance 1 can correspond to +1 or -1, then the distance 1 is expressed by

|1|

We know that is the distance from x to 10 can be expressed by

|x - 10| since it is the positive value of the substractions

If the distance from x to 10 is 1 then the expression is

Answer: |x - 10 | = 1