SOLUTION: -1+4(y - 1) + 2y is less than or equal to 1/2 (12y-30) + 15

Algebra ->  Inequalities -> SOLUTION: -1+4(y - 1) + 2y is less than or equal to 1/2 (12y-30) + 15      Log On


   

Question 335933: -1+4(y - 1) + 2y is less than or equal to 1/2 (12y-30) + 15
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-1%2B4%28y-1%29%2B2y%3C=%281%2F2%29%2812y-30%29%2B15 Start with the given inequality.


-1%2B4y-4%2B2y%3C=6y-15%2B15 Distribute.


6y-5%3C=6y-15%2B15 Combine like terms on the left side.


6y-5%3C=6y%2B0 Combine like terms on the right side.


6y%3C=6y%2B0%2B5 Add 5 to both sides.


6y-6y%3C=0%2B5 Subtract 6y from both sides.


0y%3C=0%2B5 Combine like terms on the left side.


0y%3C=5 Combine like terms on the right side.


0%3C=5 Simplify


Since this inequality is ALWAYS true, this means that there are an infinite number of solutions.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my website.

Jim