How do you graph inequalities on a coordinate plane?
1 Answer
You should remember how to graph
Where
How to graph inequalities:
-
Determine
a is either positive or negative. -
If
a is positive then your base graph will look likey=ax , else it will look likey=-abs(a) x -
b tells you that how much you need to move your base graph on the coordinate plane. Ifb is positive, move your graph in+y direction, else-y direction. Whenx=0 ,y should be equal tob . -
If
? sign is>= or<= your graph should be straight not dashed. Becausey can be equal to those values. -
If
? sign is> or< your graph should be dashed. Becausey cannot be equal to anything. -
Take any point from the coordinate plane that is not on your graph. Test it in the given inequality. If that point satisfies the inequality then shade your graph in that points's direction. Else, shade otherwise.