- #1
JG89
- 728
- 1
Homework Statement
Prove the points of the open interval (a,b) are those of the form a + t(b-a) for 0 < t < 1.
Homework Equations
The Attempt at a Solution
I'm interpreting this as asking me to prove that if x is in (a,b), then x can be written as
a + t(b-a) for some 0 < t < 1. Conversely, it's asking me to prove that if x = a + t(b-a) with 0 < t < 1, then x is in (a,b).
Is this interpretation correct?