SOLUTION: I need help with solving inequalities, w+3>7w-9 as far as i seem to get (and then i get lost) is w+3>7w-9 Divide 3 by 3 and 7w-9 by 3 and then im stuck help!

Algebra ->  Inequalities -> SOLUTION: I need help with solving inequalities, w+3>7w-9 as far as i seem to get (and then i get lost) is w+3>7w-9 Divide 3 by 3 and 7w-9 by 3 and then im stuck help!      Log On


   

Question 53754: I need help with solving inequalities, w+3>7w-9
as far as i seem to get (and then i get lost) is
w+3>7w-9

Divide 3 by 3 and 7w-9 by 3
and then im stuck help!
Answer by aaaaaaaa(138) About Me  (Show Source):
You can put this solution on YOUR website!
In equations and inequalities, you only divide the entire terms by a number. Why am I telling you that? 3 or 9 aren't terms so you can divide them, w-3 and 7w-9 are. Since none of them can actually be divided by 3, we have to find another operation, specifically we'll need only addition and subtraction by now:
w%2B3%3E7w-9
w%2B3-3%3E7w-9-3
w%3E7w-12
w-w%2B12%3E7w-w-12%2B12
12%3E6w
Now we use division:
2%3Ew

Now, a catch: assume I had subtracted 7w on both sides instead of w:
w%3E7w-12
-6w%3E-12
cross%28w%3E2%29
This isn't correct. The fact is that I've multiplied by -1/6 (dividing by -6 is the same thing as multiplying by -1/6) in the last step and, as a multiplication by a negative number, the signs must be reversed:
-6w%3E-12
w%3C2