Question

Given the interval (a,b) on the x-axis with the point x0 inside, find the greatest value for s>0such that for all x, 0 a 14 years ago

Answer 1

latex not working?

Answer 2

\(|x-12|<s\)

Answer 3

s = x_0 - a

s = 3

https://www.wolframalpha.com/input/?i=plot+abs%28x-12%29+%3C+3%2C+x%3D9%2C+x%3D19

if s>3, then you include x values less than 9 so its outside interval [a,b]

Answer 4

thank you for replying i got it