0<x<3⇒x∈{1, 2}
|3y+4|<x⇒
(1) When x=1, 3y+4<1, so 3y<-3, y<-1; or, when x=2, 3y+4<2, so 3y<-2, y<-⅔;
(2) When x=1, -3y-4<1, so -5<3y, 3y>-5, y>-5/3; or, when x=2, -3y-4<2, -6<3y, 3y>-6, y>-2.
Therefore when x=1, y<-1 and y>-5/3; when x=2, y<-⅔ and y>-2.
That is, when x=1, -1⅔<y<-1; when x=2, -2<y<-⅔.
So some examples of ordered pair sets are
{(1,-1.5), (1,-1.25), (2,-1), (2,-0.75), (2,-1.5), (2,-1.75)}
CHECK
(1,-1.5): |3y+4|=|-4.5+4|=|-0.5|=0.5<1 OK;
(1,-1.25): |3y+4|=|-3.75+4|=|0.25|=0.25<1 OK;
(2,-1): |3y+4|=|-3+4|=1<2 OK;
(2,-0.75): |3y+4|=|-2.25+4|=1.75<2 OK;
(2,-1.5): |3y+4|=|-4.5+4|=0.5<2 OK;
(2,-1.75): |3y+4|=|-5.25+4|=1.25<2 OK.
Not a function, because different values of y are associated with the same value of x, and vice versa.