SOLUTION: Write the inequality solutions in interval notation- (Absolute Value of x-9)-4 is less than or equal to 3

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Question 437309: Write the inequality solutions in interval notation-
(Absolute Value of x-9)-4 is less than or equal to 3
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28x-9%29-4%3C=3,adding 4 on both sides of inequality:abs%28x-9%29%3C=7
By the definition of absolute value we have:-7%3C=x-9%3C=7, solving this two
equivalent inequalities have:x-9%3E=-7 => x%3E=2, and
x-9%3C=7 => x%3C=16. In interval notation the solution is:
(-infinity, 16]U[2, infinity)
Done.