# Algebra--Correction?

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Solve 4(2x-3) < 3x+6

Would the solution be x > 18/5?

* Algebra - Reiny, Tuesday, October 13, 2009 at 5:30pm

yes again!

Hold on... Looking back on this problem, wouldn't it be x < 18/5 since you need to flip the sign when you divide by a negative?

• Algebra--Correction? -

yes, of course, how careless of me not to notice that you switched the sign.
x < 18/5

BUT, why do you think we divided by a negative?

4(2x-3) < 3x+6
8x - 12 < 3x + 6
5x < 18
x < 18/5

• Algebra--Correction? -

I decided to be different and subtract the 6 first. That lead me to divide by a negative 5 later in the equation.

You subtracted the 3x first, so you didn't have to divide by a negative at all.

Either way, the sign should be <.

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