Question

hello i really need some help please???
The members of a team can run 500 meters between 57 seconds and 73 seconds.


A. Write an absolute value inequality describing the times for the runners.

Answer 1

you can say if the time for runners is t
57 < t < 73

Answer 2

but i am not quite sure about absolute value thing.

Answer 3

thank you

Answer 4

but wait a second. I want to make sure about my answer

Answer 5

we usually absolute inequalities write something like this
|x-a| > 1

Answer 6

so we need to give an answer similar to that

Answer 7

okay so how do we do that

Answer 8

so the answer should be
|x -65| < 8

Answer 9

this means that
if (x -65) is positive, you put positive of (x - 65) instead of |x -65|
so
x - 65 < 8
x < 73
this is one inequality we need

Answer 10

if (x - 65) is negative , you put negative of (x-65) instead of |x-65|

so
-(x-65) < 8
-x +65 < 8
-x < -57
x > 57 (remember you change the < into > mark when you change signs)

so we get x> 57

Answer 11

I am sure about this answer now:) |x-65| < 8

Answer 12

have done absolute inequalities before?

Answer 13

have you done absolute inequalities before?