i'm studying on pma of walter rudin
i got a question about theorem 2.27 ; if x is a metric space and еcx then \bar e is closed. (\bar e means closure of e)
proof as follows; if pex and p e then p is neither a point of e nor a limit point of e. hence p has a neighborhood which does not intersect e.
"the complement of \bar{e} is therfore open." ; i can't understand this; i understand that the complement of e is open because there exists a neighborhood n of p s. t n \subset e^c
then how can i sure n c e ? ? !

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!

false

step-by-step explanation:

rulers and compasses arent required in order to bisect an angle because when bisecting angles, you're making a "half circle" and considering in order to bisect an angle it wouldn't be straight, you wouldn't need either of the two

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !