SOLUTION: Solve 4|3x|-5 is less than or equal to 5

Question 173314This question is from textbook Saxon Algebra 2
: Solve 4|3x|-5 is less than or equal to 5 This question is from textbook Saxon Algebra 2

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given inequality

Add 5 to both sides.

Divide both sides by 4

Reduce

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

Divide all sides by 3 to isolate x

Reduce

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Answer:

So our answer is

So the answer in interval notation is [

]

Also, the answer in set-builder notation is

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