SOLUTION: Hi tutors: you've been so helpful with this Algebra. here are 2 similar problems that I need help with to solve using the set builder notation 1) 5x-49 is more than/equal to 6-8(

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Question 536564: Hi tutors: you've been so helpful with this Algebra. here are 2 similar problems
that I need help with to solve using the set builder notation
1) 5x-49 is more than/equal to 6-8(2x+7) and
2) -8-11 (3x+7) is less than/equal to 40x-9)
Thanks, and Happy Holidays
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Please post questions one at a time. Thank you.


# 1

Start with the given inequality.


Distribute.


Combine like terms on the right side.


Add to both sides.


Add to both sides.


Combine like terms on the left side.


Combine like terms on the right side.


Divide both sides by to isolate .


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

Answer:

So the solution is

=======================================================
# 2

Start with the given inequality.


Distribute.


Combine like terms on the left side.


Add to both sides.


Subtract from both sides.


Combine like terms on the left side.


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.


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

Answer:

So the solution 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


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