SOLUTION: can you please solve and graph the solution set of the following inequalities 3x > 2x-4 underline under the >

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Question 117700: can you please solve and graph the solution set of the following inequalities
3x > 2x-4 underline under the >
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3x%3E=2x-4 Start with the given inequality



3x-2x%3E=-4 Subtract 2x from both sides


x%3E=-4 Combine like terms on the left side

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Answer:
So our answer is x%3E=-4




Now let's graph the solution set


Start with the given inequality:

x%3E=-4

Set up a number line:
number_line%28500%2C-14%2C6%29

Now plot the point x=-4 on the number line


number_line%28500%2C-14%2C6%2C+-4%29


Now pick any test point you want, I'm going to choose x=0, and test the inequality x%3E=-4


0%3E=-4 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=-4 as the boundary.This means we shade everything to the right of the point x=-4 like this:
Graph of x%3E=-4 with the shaded region in blue
note: at the point x=-4, there is an closed circle. This means the point x=-4 is included from the solution set.