how do u do this word problem?

label Algebra
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Sep 4th, 2015

Thank you for the opportunity to help you with your question!

2kx-3k<2x+3kx

First goal is to have all the k's on the left hand side. So, let's subtract 3kx from both sides

2kx-3kx-3x<2x

Simplify

-kx-3k<2x    *Factor out a k*

k(-x-3)<2x   *Divide by (5x-3)*

k<2x/(-x-3)

The value is 1, because no matter what value you put in for x, the right hand side will be negative.

Therefore if k is 1, 1 is not less than a negative number. It is greater than a negative number. Therefore, k=1 is not a solution.


Please let me know if you need any clarification. I'm always happy to answer your questions. Leave a positive review if you are happy!
Sep 4th, 2015

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Sep 4th, 2015
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