SOLUTION: I came up with an incorrect answer for the following problem and I'm not sure why, can you assist me? Solve the absolute value inequality. Express the solution using interval no

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Question 196829: I came up with an incorrect answer for the following problem and I'm not sure why, can you assist me?
Solve the absolute value inequality. Express the solution using interval notation and graph the solution set.
abs(4x) > 6
thanks!
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Start with the given inequality

Break up the absolute value (remember, if you have , then or )

or Break up the absolute value inequality using the given rule

Now lets focus on the first inequality

Start with the given inequality

Divide both sides by 4 to isolate x

Reduce

Now lets focus on the second inequality

Start with the given inequality

Divide both sides by 4 to isolate x

Reduce

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Answer:

So our answer is

or

which looks like this in interval notation

if you wanted to graph the solution set, you would get

Graph of the solution set in blue and the excluded values represented by open circles