Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}

(F + G) (2) =

Huh? Please explain! Thanks :)

Question

Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}

(F + G) (2) = 

Huh? Please explain! Thanks :)

across · Answer

You're given two sets $F$ and $G$. What does it mean to add two sets? That is, what's $F+G$?

across · Answer

It's a good idea to view these sets as functions, since they clearly meet the criteria to be regarded as such. Then, what does it mean to add two functions?

across · Answer

Hint:$$F=\{(0,1),(2,4),(4,6),(6,8)\}\G=\{(2,5),(4,7),(5,8),(6,9),(7,5)\}\F+G=\{(0,1),(2,4+5),(4,6+7),\dots\}\text{ Can you finish it?}$$

anonymous · Answer

So since (2,4) & (2,5) share the same x value, you add the y's giving you 9, right? & Sorry it took so long, my computer has issues.

anonymous · Answer

& Thank you :)

across · Answer

You're correct, that's fine, and you're welcome! :)

anonymous · Answer

Oh okay, thanks :)