SOLUTION: How would I graph the inequality y > or = to 1?

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Question 120530: How would I graph the inequality y > or = to 1?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!


Start with the given inequality:

y%3E=1

Set up a number line:
number_line%28500%2C-9%2C11%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-9%2C11%2C+1%29


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


0%3E=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 right of the point y=1 like this:
Graph of y%3E=1 with the shaded region in blue
note: at the point y=1, there is an closed circle. This means the point y=1 is included from the solution set.