SOLUTION: Solve the inequality and graph the solution. y - 3 > or equal to 5

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Question 117754: Solve the inequality and graph the solution.
y - 3 > or equal to 5

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

y-3%3E=5 Start with the given inequality



y%3E=5%2B3Add 3 to both sides


y%3E=8 Combine like terms on the right side

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Answer:
So our answer is y%3E=8







Now let's graph the solution set


Start with the given inequality:

y%3E=8

Set up a number line:
number_line%28500%2C-2%2C18%29 note: just replace the x with the variable you are working with


Now plot the point y=8 on the number line


number_line%28500%2C-2%2C18%2C+8%29


Now pick any test point you want, I'm going to choose y=0, and test the inequality y%3E=8


0%3E=8 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=8 as the boundary. This means we shade everything to the right of the point y=8 like this:
Graph of y%3E=8 with the shaded region in blue
note: at the point y=8, there is an closed circle. This means the point y=8 is included from the solution set.