SOLUTION: 5|x+4|< 10 - 5, x+4 in absolute value is less than or equal to 10

Question 131396This question is from textbook
: 5|x+4|< 10
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5, x+4 in absolute value is less than or equal to 10 This question is from textbook

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

Divide both sides by 5

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

and Break up the absolute value inequality using the given rule

Combine the two inequalities to get a compound inequality

Subtract 4 from all sides

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Answer:

So our answer is

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 included values represented by closed circles
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