Part1. Is the graph of y<-x the same as the graph of -y
first draw the graph y=-x
y=-x or -y=x is the same line. But in case of inequality difference is of region .
y<-x multiply or divide both sides by -1. What do you get?
-y<x means y>-x Clearly not the same as y<-x
Do you get exactly -y<x? Remember that when you multiply or divide both sides by a negative, the sign flips direction
I agree with @sshayer If it's y<-x the it will shade to the left because the leading coefficient is positive. if it's -y<x then it will shade to the right since the leading coefficient is negative. you can add these data to a graphic system and see for your self and then describe the situation in your own words. may i suggest GeoGebra.org. it is a great free system.
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