SOLUTION: |3-3/4x|=1/4

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Question 69854This question is from textbook
: |3-3/4x|=1/4 This question is from textbook

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
There are two quantities inside the absolute value signs that
will give the correct answer. abs%28%2B1%2F4%29 and abs%28-1%2F4%29
abs%283-%283%2F4%29x%29+=+abs%28-1%2F4%29
abs%283-%283%2F4%29x%29+=+abs%28%2B1%2F4%29
Therefore, both of these must be true for abs%283-%283%2F4%29x%29=1%2F4 to
be true.
3+-+%283%2F4%29x+=+%2B1%2F4
3+-+%283%2F4%29x+=+-1%2F4
solve each for x
%283%2F4%29x+=+3+-+1%2F4
%283%2F4%29x+=+11%2F4
x+=+11%2F3 answer
3+-+%283%2F4%29x+=+-1%2F4
%283%2F4%29x+=+3+%2B+1%2F4
%283%2F4%29x+=+13%2F4
x+=+13%2F3 answer
substitute the answers into the problem and you will see that
they are correct.