SOLUTION: How would I do a problem like v-7(v-4)>-6v+7 this is an inequality problem. Thanks

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Question 658309: How would I do a problem like v-7(v-4)>-6v+7
this is an inequality problem.
Thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

v-7%28v-4%29%3E-6v%2B7 Start with the given inequality.


v-7v%2B28%3E-6v%2B7 Distribute.


-6v%2B28%3E-6v%2B7 Combine like terms on the left side.


-6v%3E-6v%2B7-28 Subtract 28 from both sides.


-6v%2B6v%3E7-28 Add 6v to both sides.


0v%3E7-28 Combine like terms on the left side.


0v%3E-21 Combine like terms on the right side.


0+%3E+-21 Simplify


Since that last inequality is always true, there are an infinite number of solutions (since any real number works as a solution)