How do you graph x+2y<-2 in linear inequality form

Question

How do you sketch this linear inequality on a graph x+2y<-2 ?

Answer 1

I would first solve the inequality for y.  y<-(1/2)x-1.  On a graph, sketch the line y=-(1/2)x-1 as a dotted line since we have an inequality.  Now we just need to figure out is the area is above or below the dotted line.  Make it easy.  Choose x=0 and we get y<-1 so the area is below that dotted line.