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

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) (Show Source): You can put this solution on YOUR website!

First eliminate the mixed number on the right.

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.

Next, multiply both sides by -21. When you multiply by a negative you must flip the sign.

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.

Correct.

Incorrect.
So our answer of n < 5.4 is not unreasonable, and thus we can accept it as the correct answer.

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