SOLUTION: I am working in an Algebra 2 workbook and I came across this problem: 9a-6>3(a-6) I did the problem 3 times, checked my answer, and asked my dad for help, and we are convinced t

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Question 643229: I am working in an Algebra 2 workbook and I came across this problem: 9a-6>3(a-6)
I did the problem 3 times, checked my answer, and asked my dad for help, and we are convinced the answer is a>1. However, the book says that the answer is 4 1/4. This fits into the problem because it is greater than 1, but 1 can also be used and it is the lowest number possible. I was just wondering if someone else could do the problem as well and see what you get. It is entirely possible that the book or I have made a mistake, but I just wasn't sure. Thanks!!
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+9a-6+%3E+3%2A%28a-6%29+
You can divide both sides by +3+
+3a+-+2+%3E+a+-+6+
Subtract +a+ from both sides
+2a+-+2+%3E+-+6+
Add +2+ to both sides
+2a+%3E+-4+
Divide both sides by +2+
+a+%3E+-2+
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check answer:
+9a-6+%3E+3%2A%28a-6%29+
I'll plug in +a+=+-1+ which is greater than +-2+
+9%2A%28-1%29+-+6+%3E+3%2A%28-1-6%29+
+-9+-+6+%3E+3%2A%28-7%29+
+-15+%3E+-21+
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To make sure, I'll try +a+=+-1.99+
+9%2A%28-1.99%29+-+6+%3E+3%2A%28+%28-1.99%29+-+6%29+
+-17.91+-+6+%3E+3%2A%28-7.99%29+
+-+23.91+%3E+-23.97+
OK
I don't see how the book got it's answer

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I am working in an Algebra 2 workbook and I came across this problem: 9a-6>3(a-6)
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9a-6>3(a-6)
9a-6>3a-18
Subtract 3a
6a-6 > -18
Add 6
6a > -12
a > -2
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