Posted by Anonymous on Tuesday, October 13, 2009 at 5:39pm.
Solve 4(2x-3) < 3x+6
Would the solution be x > 18/5?
* Algebra - Reiny, Tuesday, October 13, 2009 at 5:30pm
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? - Reiny, Tuesday, October 13, 2009 at 5:46pm
yes, of course, how careless of me not to notice that you switched the sign.
the correct answer is
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? - Anonymous, Tuesday, October 13, 2009 at 5:54pm
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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