SOLUTION: The question is 6 the solution. the problem is y-8>2y-3 and then I am given these inequalites to work with 6,-19,-15,-2 This is new to me so I don't even know where to start.

Algebra ->  Inequalities -> SOLUTION: The question is 6 the solution. the problem is y-8>2y-3 and then I am given these inequalites to work with 6,-19,-15,-2 This is new to me so I don't even know where to start.      Log On


   

Question 349800: The question is 6 the solution. the problem is y-8>2y-3
and then I am given these inequalites to work with 6,-19,-15,-2 This is new to me so I don't even know where to start.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, let's solve the given inequality


y-8%3E2y-3 Start with the given inequality.


y%3E2y-3%2B8 Add 8 to both sides.


y-2y%3E-3%2B8 Subtract 2y from both sides.


-y%3E-3%2B8 Combine like terms on the left side.


-y%3E5 Combine like terms on the right side.


y%3C%285%29%2F%28-1%29 Divide both sides by -1 to isolate y. note: Remember, the inequality sign flips when we divide both sides by a negative number.


y%3C-5 Reduce.


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Answer:

So the answer is y%3C-5


So ANY number that is less than -5 is a solution to the original inequality.


So for example, 6 is NOT a solution as it is NOT less than -5. However, -19 and -12 are both solutions since they are both less than -5.


Alternatively, you can plug in each possible solution into the given inequality and evaluate each side. If you get a true statement, then that given possible solution is actually a solution. If you get a false statement, then it's not a solution.


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

Also, feel free to check out my tutoring website

Jim