Hi Nunya,
You didn't give any instructions but I expect you are to find the values of $n$ for which the inequality is true.
You can work to solve an inequality much as you do to solve an equation, but with one exception. Let's look at a couple of examples.
If the inequality is $4n + 4 > 2(n  6)$ then you can expand the right side to get $4n + 4 > 2n  12.$ now add 4 to each side to get $4n > 2n  16.$ Now add $2n$ to each side to get $2n > 16.$ finally multiplying both sides by $\large \frac{1}{2}.$ gives $n > 8.$ Hence the given inequality is true if $n > 8.$
Now a second example.
If the inequality is $3n  6 > 5(n2).$ Expanding the right side gives $3n  6 > 5n  10.$ Now add 6 to each side and the inequality becomes $3n > 5n  4.$ Now add $5n$ to each side and you get $2n > 4.$ Now you need to multiply both sides by $\large \frac{1}{2}$ but when you multiply both sides of an inequality by a negative number the direction of the inequality reverses. thus the multiplication yields $n < 2.$ Hence the given inequality is true if $n <2.$
Now try your inequality.
Penny
