SOLUTION: Solve and graph the solution set. x + 11

SOLUTION: Solve and graph the solution set. x + 11 > �5

Question 93203: Solve and graph the solution set.
x + 11 > �5

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Subtract 11 from both sides

Combine like terms -11 and -5 on the right side to get -16

So our answer is

Now lets graph the inequality

Start with the given inequality:

Set up a number line:

Now plot the point x=-16 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 x=-16 as the boundary.This means we shade everything to the right of the point x=-16 like this
Graph of with the shaded region in blue
note: at the point x=-16, there is an open circle. This means the point x=-16 is excluded from the solution set.

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