SOLUTION: What is the answer to -10/21n > -2 4/7? I need to make sure that my answer is correct.

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Question 102331: What is the answer to -10/21n > -2 4/7? I need to make sure that my answer is correct.
Answer by mjgulinello(10) About Me  (Show Source):
You can put this solution on YOUR website!
-10n%2F21+%3E+-2+%2B+4%2F7
First eliminate the mixed number on the right.
-10n%2F21+%3E+-+18%2F7
Then give the two fractions a common denominator. (This is not necessary, but it makes the solution clearer.) To do this, multiply the right side by 3/3.
-10n%2F21+%3E+-+%2818%2F7%29+%2A+%283%2F3%29
-10n%2F21+%3E+-+54%2F21
Next, multiply both sides by -21. When you multiply by a negative you must flip the sign.
10n+%3C+54
Next, divide both sides by 10
n < 5.4
We can check that this answer is reasonable by plugging in 5 and 6 for n in the original equation.
-10%2F21+%2A+5+%3E+-2%2B+4%2F7
-50%2F21+%3E+-54%2F21
Correct.
-10%2F21+%2A+6+%3E+-2+%2B4%2F7
-60%2F21+%3E+-54%2F21
Incorrect.
So our answer of n < 5.4 is not unreasonable, and thus we can accept it as the correct answer.