SOLUTION: |4-x|<5 I dont get the step your suppose to do. Do you subtrack first or what?

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Question 127512: |4-x|<5
I dont get the step your suppose to do. Do you subtrack first or what?
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 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

Divide all sides by -1. This will isolate x. Remember, dividing by a negative number flips the inequality signs.

Rearrange the inequality

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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 excluded values represented by open circles