SOLUTION: Solve the inequality and represent your answer in set builder notation. Be sure to show all of your work. 6a + 10 > 7a – 1

Algebra ->  Inequalities -> SOLUTION: Solve the inequality and represent your answer in set builder notation. Be sure to show all of your work. 6a + 10 > 7a – 1      Log On


   

Question 568193: Solve the inequality and represent your answer in set builder notation. Be sure to show all of your work.
6a + 10 > 7a – 1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

6a%2B10%3E7a-1 Start with the given inequality.


6a%3E7a-1-10 Subtract 10 from both sides.


6a-7a%3E-1-10 Subtract 7a from both sides.


-a%3E-1-10 Combine like terms on the left side.


-a%3E-11 Combine like terms on the right side.


a%3C%28-11%29%2F%28-1%29 Divide both sides by -1 to isolate a. note: Remember, the inequality sign flips when we divide both sides by a negative number.


a%3C11 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is a%3C11


Also, the answer in set-builder notation is
-------------------------------------------------------------------------------------------------
If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim
-------------------------------------------------------------------------------------------------