SOLUTION: Can you please walk me through the process to solve the following equation: 4-3(w-5) < -2w Thank you.

Algebra ->  Absolute-value -> SOLUTION: Can you please walk me through the process to solve the following equation: 4-3(w-5) < -2w Thank you.      Log On


   

Question 337666: Can you please walk me through the process to solve the following equation:
4-3(w-5) < -2w

Thank you.
Found 2 solutions by stanbon, Fombitz:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
4-3(w-5) < -2w
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Get rid of the parenthesis:
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4-3w+15 < -2w
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Add 3w to both sides:
4+15 < w
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Switch the sides and simplify:
w > 19
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Cheers,
Stan H.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
It's the same procedure as you would do with an "=" sign with only minor differences.
4-3%28w-5%29+%3C+-2w+
4-3w%2B15+%3C+-2w
-3w%2B19%3C-2w
-3w%2B19-19%3C-2w-19
-3w%2B0%3C-2w-19
-3w%3C-2w-19
-3w%2B2w%3C-2w%2B2w-19
-w%3C0-19
-w%3C-19
highlight%28w%3E19%29 One of those minor differences, multiplication/division by a negative numbers changes the direction of the inequality.