Carson,
There must be something in the water today! A couple of weird answers on our answer board. I have to respectfully disagree with Philip's explanation.
 Yes, in order to solve an inequality, you still do things in the same order you'd do for an equality.
 But sometimes, things don't always work out the same, because inequalities are different from equalities.
Let's take a really simple example. We know that 1 is less than 3. :)
1 < 3
Now, you can multiple both sides of an inequality by 1, and it's still true, right?
1 < 3
Ummmmm....really? 1 is less than 3? I don't think so! When you multiply both sides of an inequality by a negative number (or divide both sides by a negative number), don't you have to do something to the inequality to make it stay true?
Now go back to the problem you posed. After you subtract 6 from both sides, you definitely get:
9f < 9.
And then, you do need to divide by 9 to get f by itself.
And then, you need to remember, when you multiply/divide inequalities by a negative number, you need to do something to the inequality to keep it true.
Hope this helps you see where "f < 1" might not be quite correct,
 Michael
5/14/2014

Michael W.
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