SOLUTION: y < -1

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Question 122585: y < -1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Do you want to graph this on a number line?


Start with the given inequality:

y+%3C+-1

Set up a number line:
number_line%28500%2C-11%2C9%29 note: just replace the x with the variable you are working with


Now plot the point y+=+-1 on the number line


number_line%28500%2C-11%2C9%2C++-1%29


Now pick any test point you want, I'm going to choose y =0, and test the inequality y+%3C+-1


0%3C+-1 Plug in y+=0


Since this inequality is not true, we simply shade the entire portion that does not contain the point y =0 using the point y+=+-1 as the boundary. This means we shade everything to the left of the point y+=+-1 like this:
Graph of y+%3C+-1 with the shaded region in blue

note: at the point y+=+-1, there is an open circle. This means the point y+=+-1 is excluded from the solution set.