SOLUTION: [2x+4]<8 has a solution set of ____

SOLUTION: [2x+4]<8 has a solution set of _____.

Question 174310: [2x+4]<8 has a solution set of _____.
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 2 to isolate x

----------------------------------------------------

Answer:

So our answer is

which looks like this in interval notation

if you wanted to graph the solution set on a number line, you would get

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