SOLUTION: How do you plot x+2>6 on a number line? I am not sure how to solve this problem.

Algebra ->  Number-Line -> SOLUTION: How do you plot x+2>6 on a number line? I am not sure how to solve this problem.      Log On


   

Question 115140: How do you plot x+2>6 on a number line? I am not sure how to solve this problem.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B2%3E6 Start with the given inequality



x%3E6-2Subtract 2 from both sides


x%3E4 Combine like terms on the right side

--------------------------------------------------------------
Answer:
So our answer is x%3E4

Start with the given inequality:

x%3E4

Set up a number line:
number_line%28500%2C-6%2C14%29

Now plot the point x=4 on the number line


number_line%28500%2C-6%2C14%2C+4%29


Now pick any test point you want, I'm going to choose x=0, and test the inequality x%3E4


0%3E4 Plug in x=0


Since this inequality is not true, we simply shade the entire portion that does not contain 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%3E4 with the shaded region in blue
note: at the point x=4, there is an open circle. This means the point x=4 is excluded from the solution set.