the distance between x and 9 is no more than 8. use absolute value notation to describe this situation

Question

value notation is what i need to know with its answer

Answer 1

Think about a number line.

The distance from 3 to 9 is 6

Absolute value of a number is it's distance from zero

expressed as a positive number.  |2| = 2 and |-2| = 2

 

Example for a distance situation:

The distance from x to 3 is 6:

|x-3| = 6

So x-3 = 6    or    x-3 = -6

     x = 9             x = -3

 

Note that on a number line if we start at 3 and

go 6 spaces right we are at 9.  If we start at 3

and go 6 spaces left we are at -3

 

Your equation is:

|x-9| ≤ 8