SOLUTION: graph x>=13/5

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Question 127334: graph
x>=13/5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Now let's graph the solution set


Start with the given inequality:

x%3E=13%2F5

Set up a number line:
number_line%28500%2C-5%2C23%29

Now plot the point x=13%2F5 on the number line (remember 13%2F5=2.6)


number_line%28500%2C-5%2C23%2C+13%2F5%29


Now pick any test point you want, I'm going to choose x=0, and test the inequality x%3E=13%2F5


0%3E=13%2F5 Plug in x=0


Since this inequality is not true, we simply shade the entire portion that does not contain the point x=0 using the point x=13%2F5 as the boundary. This means we shade everything to the right of the point x=13%2F5 like this:
Graph of x%3E=13%2F5 with the shaded region in blue
note: at the point x=13%2F5, there is an closed circle. This means the point x=13%2F5 is included from the solution set.