+2195 I don't understand. How do I know what half of the coordinate plane I'm supposed to shade.
Ex: y - 2x ≤ -2
y - 2x +2x ≤ 2x - 2
y ≤ 2x - 2
+129899 OK, Tiddle....let me make this simple for you...
Instead of y ≤ 2x - 2
Let's just look the graph of y = 2x - 2
This is just a line with a y intecept of -2 i.e., the point (0, -2) is on the graph
So pick any point on the y axis that lies 'above" this - I'll choose (0,0) and see if it "works" in the original equation
So we have
[ 0 ≤ 2(0) - 2 ] → [ 0 ≤ -2 ] is this triue ??? NO !!!
So.......the area that we would shade lies below the graph of the line....and the "≤ " means that the line is included!!
So...in general, with these types of problems....just graph the basic line (ignoring the inequality sign and changing it to an " = ")...pick a point on either side of the line and plug the coordinates of that point into the the original equation....if that point "works" in the original equation, shade that side of the line, otherwise....shade the other side. Remember "<" and " >" mean that the line isn't included ...while "≤ " and " ≥ " mean the line is included
Does that help ???
