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

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Question 114719: Solve and graph the solution set. x + 4 > 3
This will be a line graph.

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

Start with the given inequality



Subtract 4 from both sides


Combine like terms on the right side

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Answer:
So our answer is


Start with the given inequality:



Set up a number line:


Now plot the point on the number line





Now pick any test point you want, I'm going to choose x=0, and test the inequality


Plug in


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


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