write the statement using absolute value notation:
the distance between x and 4 is 3
please tell me how you did it

Question

write the statement using absolute value notation: 
the distance between x and 4 is 3 
please tell me how you did it

anonymous · Answer

lol nvm

anonymous · Answer

Ix-4I=3
The absolute value equation above means that x-4 is equal to 3, OR, that x-4 is equal to -3.
If x-4=3, then x=7.   If x-4=-3, then x=1.
Now imagine the number line with the numbers 1 and 7 marked with a dot.
The number 4 is in the center of that segment.  And the numbers 1 and 7 are at a distance of exactly 3 units of the number 4 which is at the center.
That is exactly what the absolute value equation is asking you to find out.  Which numbers are within a distance of 3 units of 4.  And your answer is x=1 and x=7.