SOLUTION: Please help me solve this inequality and graph soloution set 3 + x

SOLUTION: Please help me solve this inequality and graph soloution set 3 + x < -4 or 3 + x > 4

Question 105326This question is from textbook Merrill Algebra One
: Please help me solve this inequality and graph soloution set
3 + x < -4 or 3 + x > 4 This question is from textbook Merrill Algebra One

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Which one is it? I'm assuming you want to solve the first inequality

Start with the given inequality

Subtract 3 from both sides

Combine like terms on the right side

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Answer:
So our answer is

Now let's graph the solution set

Start with the given inequality:

Set up a number line:

Now plot the point x=-7 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=-7 as the boundary. This means we shade everything to the left of the point x=-7 like this:
Graph of with the shaded region in blue

note: at the point x=-7, there is an open circle. This means the point x=-7 is excluded from the solution set.

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