SOLUTION: Solve the inequality 55. -7/11d + 2 < 2/3 Any help with this equation would be <b>Greatly</b> appreciated.

Algebra ->  Equations -> SOLUTION: Solve the inequality 55. -7/11d + 2 < 2/3 Any help with this equation would be <b>Greatly</b> appreciated.      Log On


   



Question 113559: Solve the inequality
55. -7/11d + 2 < 2/3
Any help with this equation would be Greatly appreciated.

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

%28-7%2F11%29d%2B2%3C2%2F3 Start with the given inequality



%2833%29%28%28-7%2F11%29d%2B2%29%3C%2833%29%282%2F3%29 Multiply both sides by the LCM of 33. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



-21d%2B66%3C22 Distribute and multiply the LCM to each side



-21d%3C22-66Subtract 66 from both sides


-21d%3C-44 Combine like terms on the right side


d%3E%28-44%29%2F%28-21%29 Divide both sides by -21 to isolate d (note: Remember, dividing both sides by a negative number flips the inequality sign)



d%3E44%2F21 Reduce

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Answer:
So our answer is d%3E44%2F21 (which is approximately d%3E2.0952380952381 in decimal form)