SOLUTION: Solve and graph the solution 8x+5> 7x+8 _ This symbol represents greater than or equal to.

Algebra ->  Inequalities -> SOLUTION: Solve and graph the solution 8x+5> 7x+8 _ This symbol represents greater than or equal to.      Log On


   



Question 96908: Solve and graph the solution 8x+5> 7x+8
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This symbol represents greater than or equal to.

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

8x%2B5%3E=7x%2B8 Start with the given equation


8x%3E=7x%2B8-5Subtract 5 from both sides


8x-7x%3E=8-5 Subtract 7x from both sides


x%3E=8-5 Combine like terms on the left side


x%3E=3 Combine like terms on the right side

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



Now let's graph the solution




Start with the given inequality:

x%3E=3

Set up a number line:
number_line%28500%2C-7%2C13%29

Now plot the point x=3 on the number line


number_line%28500%2C-7%2C13%2C+3%29


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


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