SOLUTION: x/7 - 1 < 2/3 what is the solution -

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Question 163837: x/7 - 1 < 2/3 what is the solution
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Answer by kennedysj(5) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F7%29+-+1+%3C+%282%2F3%29
Start by adding 1 to both sides of the inequality
%28x%2F7%29+-+1+%2B+1+%3C+%282%2F3%29+%2B+1
simplifying gives us
x%2F7+%3C+1%2B2%2F3
Change 1+ 2/3 into an improper fraction 3/3 + 2/3 or 5/3 so
x%2F7+%3C+5%2F3
Now multiply both sides of the inequality by 7
7%2A%28x%2F7%29%3C7%2A%285%2F3%29
simplifying gives us
x%3C35%2F3 or as a mixed number x< 11 2/3