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
--------------------------------------------------------------
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)
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