Question 102331
{{{-10n/21 > -2 + 4/7}}}
First eliminate the mixed number on the right.
{{{-10n/21 > - 18/7}}}
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/21 > - (18/7) * (3/3)}}}
{{{-10n/21 > - 54/21}}}
Next, multiply both sides by -21. When you multiply by a negative you must flip the sign.
{{{10n < 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.

{{{-10/21 * 5 > -2+ 4/7}}}
{{{-50/21 > -54/21}}}

Correct.

{{{-10/21 * 6 > -2 +4/7}}}
{{{-60/21 > -54/21}}}

Incorrect.

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