SOLUTION: Solve each compound inequality. Graph solutions set and write in interval notation. x + 4 < 0 or 6x > -12 Okay, I just need to know where to start, because the rule is if t

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Question 125919: Solve each compound inequality. Graph solutions set and write in interval notation.
x + 4 < 0 or 6x > -12

Okay, I just need to know where to start, because the rule is if there are two inequality signs separated by �or � (as above) to solve for x in middle and the term �or� also means �union�. What I�m asking is what numbers do I begin with and how do I enter them? The first step to solving?
Thank you!
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Simply solve each inequality individually and the final solution will be the union of these two solutions

} Start with the first inequality

Subtract 4 from both sides

Combine like terms on the right side

So the first part of our answer is

} Start with the second inequality

Divide both sides by 6 to isolate x

Divide

So the second part of the answer is

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Answer:

So together the solution is

or

So the solution in interval notation is

Now let's graph the solution set

Graph of (left sided blue region) and (right sided blue region)