Let A and B be two distinct points. Prove each of the following equalities.
(a) ray AB ∪ ray BA = line AB
(b) ray AB ∩ ray BA = segment AB
def of ray AB: $segment\:AB\:∪\:\left\{Pε\:line\:AB:\:A\cdot B\cdot P\right\}\:where\:B\:is\:between\:A\:and\:P$
To start off the problem i would think i should point out that AεrayAB and AεrayBA and Bεray AB and BεrayBA
and by defintion of union, A and B ε in line AB?
this seems to simple and not logical enough. Any hints would be helpful.