SOLUTION: Could someone please show me how to do this problem? Use the set builder notation to describe the complete solution set {yly _ _ } 2(3y-9) > 7(2y+5) (the greater than less than

Algebra ->  Graphs -> SOLUTION: Could someone please show me how to do this problem? Use the set builder notation to describe the complete solution set {yly _ _ } 2(3y-9) > 7(2y+5) (the greater than less than       Log On


   

Question 423500: Could someone please show me how to do this problem? Use the set builder notation to describe the complete solution set {yly _ _ }
2(3y-9) > 7(2y+5)
(the greater than less than sign is underlined)
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%283y-9%29%3E=7%282y%2B5%29 Start with the given inequality.


6y-18%3E=14y%2B35 Distribute.


6y%3E=14y%2B35%2B18 Add 18 to both sides.


6y-14y%3E=35%2B18 Subtract 14y from both sides.


-8y%3E=35%2B18 Combine like terms on the left side.


-8y%3E=53 Combine like terms on the right side.


y%3C=%2853%29%2F%28-8%29 Divide both sides by -8 to isolate y. note: Remember, the inequality sign flips when we divide both sides by a negative number.


y%3C=-53%2F8 Reduce.


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

Answer:

So the solution is y%3C=-53%2F8


So 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

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2(3y-9) >= 7(2y+5)
---
6y-18 >= 14y+35
8y <= -53
y <= -53/8
======================
Solution: {y | y <= -53/8}
===============================
Cheers,
Stan H.
==========