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}

Algebra ->  Inequalities -> 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}      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!

-14%3E5%282m-3%29-m Start with the given inequality.


-14%3E10m-15-m Distribute.


-14%3E9m-15 Combine like terms on the right side.


0%3E9m-15%2B14 Add 14 to both sides.


-9m%3E-15%2B14 Subtract 9m from both sides.


-9m%3E-1 Combine like terms on the right side.


m%3C%28-1%29%2F%28-9%29 Divide both sides by -9 to isolate m. note: Remember, the inequality sign flips when we divide both sides by a negative number.


m%3C1%2F9 Reduce.


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Answer:

So the solution is m%3C1%2F9


So the answer in set-builder notation is


This means that the answer is B)

Answer by stanbon(75887) About Me  (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
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Answer: a
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Cheers,
Stan H.
a) {m | m < 1}
b) {m | m < 1/9}
c) {m | m > 1}
d) {m | m > 1/9}