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test the origin
first sketch the line 2y +x = 10 ( and it should be dashed because its only less than ( not less than or equal )
the line has x intercept ( set y=0) of 10 , and y intercept ( set x=0 ) of 5
so i fill Y in with zero and get an answer then I fil x in with zero and get another answer? then I graph it and shade everything to right?
I understand completely now. Thanks sooo muchhh(:
and can I use 1 as a test point?
1 isnt a point
you usually use the origin
unless the graph goes throught the origin
yes , but 0,0 makes things easier, because you sub 0 into something alot of things disappear
Oh that makes more sense. thanks.
except for this like cosx , where cos 0 = 1
when you draw the line, it cuts the plane into two sections, and its either one section or the other , then you check a point ( you can pick any you like by (0,0) or (1,0) , smal numbers are easiest , you find a point where the inequality holds, and then you know the inequality is true in the "half plane " where your test point was.
similarly , if you were to sub in the origin and it didnt satisfy the inequality then you know the region you want is the one that doesnt contain the origin
Ok thanks. this helped so much cause I have Algebra finals tomorrrow. But again, thanks so much, this means a lot. Goodnight(: