SOLUTION: The interval described in set-builder notation by the inequality |2x-2|<14 has interval notation (a,b) for a= and b=

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Question 1141632: The interval described in set-builder notation by the inequality
|2x-2|<14
has interval notation
(a,b)
for
a=

and
b=

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
matrix%281%2C3%2C+abs%282x-2%29%2C+%22%22%3C%22%22%2C+14%29+

means

matrix%281%2C5%2C-14%2C%22%22%3C%22%22%2C2x-2%2C%22%22%3C%22%22%2C14%29

Solve for x in the middle.  Add +2 to all three sides:

matrix%281%2C5%2C-14%2B2%2C%22%22%3C%22%22%2C2x-2%2B2%2C%22%22%3C%22%22%2C14%2B2%29

matrix%281%2C5%2C-12%2C%22%22%3C%22%22%2C2x%2C%22%22%3C%22%22%2C16%29

Divide all three sides by 2

matrix%281%2C5%2C-6%2C%22%22%3C%22%22%2Cx%2C%22%22%3C%22%22%2C8%29

Set builder notation



Interval notation:

%28matrix%281%2C3%2C-6%2C%22%2C%22%2C8%29%29

Edwin