SOLUTION: Solve and graph the solution set. x + 4 > 3 This will be a line graph.

Algebra ->  Graphs -> SOLUTION: Solve and graph the solution set. x + 4 > 3 This will be a line graph.       Log On


   

Question 114719: Solve and graph the solution set. x + 4 > 3
This will be a line graph.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B4%3E3 Start with the given inequality



x%3E3-4Subtract 4 from both sides


x%3E-1 Combine like terms on the right side

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Answer:
So our answer is x%3E-1


Start with the given inequality:

x%3E-1

Set up a number line:
number_line%28500%2C-11%2C9%29

Now plot the point x=-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 x=0, and test the inequality x%3E-1


0%3E-1 Plug in x=0


Since this inequality is true, we simply shade the entire portion in which contains the point x=0 using the point x=-1 as the boundary.This means we shade everything to the right of the point x=-1 like this:
Graph of x%3E-1 with the shaded region in blue
note: at the point x=-1, there is an open circle. This means the point x=-1 is excluded from the solution set.