SOLUTION: Solve -14 > 5(2m - 3) - m. a) {m | m < 1} b) {m | m < 1/9} c) {m | m > 1} d) {m | m > 1/9}

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Question 202444: Solve -14 > 5(2m - 3) - m.
a) {m | m < 1} b) {m | m < 1/9} c) {m | m > 1} d) {m | m > 1/9}

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given inequality.


Distribute.


Combine like terms on the right side.


Add to both sides.


Subtract from both sides.


Combine like terms on the right side.


Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.


Reduce.


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Answer:

So the solution is


So the answer in set-builder notation is


This means that the answer is B)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Solve -14 > 5(2m - 3) - m
-14 > 10m - 15 - m
-14 > 9m - 15
9m < 1
m < 1/9
----------------
Answer: a
====================
Cheers,
Stan H.
a) {m | m < 1}
b) {m | m < 1/9}
c) {m | m > 1}
d) {m | m > 1/9}

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