SOLUTION: My question is to draw the line graph which represents d is greater/equal to -3. Thank You, KC

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Question 91104: My question is to draw the line graph which represents d is greater/equal to -3.
Thank You,
KC
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given inequality:

d%3E=-3

Set up a number line:

number_line%28+500%2C+-10%2C+10%29 note: just replace the x with the variable you are working with


Now plot the point -3 on the number line


number_line%28+500%2C+-10%2C+10%2C+-3%29


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


0%3E=-3 Plug in d=0


Since this inequality is true, we simply shade the entire portion that contains 0 using the point -3 as the boundary. This means we shade everything to the right of the point -3 like this:

Graph of d%3E=-3 with the shaded region in blue

note: at the point -3, there is an closed circle. This means the point -3 is included from the solution set.