Question

find the domain and range of the following: x + y = 2 and x<3

Answer 1

well apparently the domain is
\[x<3\] and if
\[x<3\] then since
\[x=2-y\] this means
\[2-y<3\]
\[-1<y\] so that is the range

Answer 2

Where did the -1 come from?

Answer 3

oh i solved
\[2-y<3\]
\[2-y+y<3+y\]
\[2<3+y\]
\[2-3<3-3+y\]
\[-1<y\]

Answer 4

I don't understand how to solve these. What's the 2-y+y<3+y all about? And everything after that?

Answer 5

OH I get it. Nevermind