SOLUTION: Is the inequality sometimes, always, or never true? -2(2x + 9) > -4x + 9

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Question 619551: Is the inequality sometimes, always, or never true? -2(2x + 9) > -4x + 9
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Is the inequality sometimes, always, or never true?
-2(2x + 9) > -4x + 9
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-4x -18 > -4x + 9
Add 4x to both sides:
-18 > 9
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Ans: Never true
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Cheers,
Stan H.
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Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-2%282x%2B9%29%3E-4x%2B9 Start with the given inequality.


-4x-18%3E-4x%2B9 Distribute.


-4x%3E-4x%2B9%2B18 Add 18 to both sides.


-4x%2B4x%3E9%2B18 Add 4x to both sides.


0x%3E9%2B18 Combine like terms on the left side.


0x%3E27 Combine like terms on the right side.


0%3E27 Simplify


Since this inequality is false, the original inequality is NEVER true for any x value.