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

Question 96908: Solve and graph the solution 8x+5> 7x+8
_
This symbol represents greater than or equal to.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Subtract 5 from both sides

Subtract 7x from both sides

Combine like terms on the left side

Combine like terms on the right side

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Answer:
So our answer is

Now let's graph the solution

Start with the given inequality:

Set up a number line:

Now plot the point x=3 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 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 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.

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