SOLUTION: 1.Is this ordered pair(-8,3) a solution of this inequality? 6x+y<-3 2.-18is less than or equal to3x-7less than or equal to-2 what is the solutuion?

Algebra ->  Inequalities -> SOLUTION: 1.Is this ordered pair(-8,3) a solution of this inequality? 6x+y<-3 2.-18is less than or equal to3x-7less than or equal to-2 what is the solutuion?       Log On


   

Question 167887: 1.Is this ordered pair(-8,3) a solution of this inequality? 6x+y<-3
2.-18is less than or equal to3x-7less than or equal to-2
what is the solutuion?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1


6x%2By%3C-3 Start with the given inequality.


6%2A%28-3%29%2B3%3C-3 Plug in +x=-8 and +y=3.


-18%2B3%3C-3 Multiply


-15%3C-3 Add


Since the inequality is true, this means that (-8,3) is a solution to the inequality.





# 2


18%3C=3x-7%3C=-2 Start with the given compound inequality.


18%2B7%3C=3x%3C=-2%2B7 Add 7 to ALL sides


25%3C=3x%3C=-5 Add


%2825%29%2F3%3C=x%3C=%28-5%29%2F3 Divide all sides by 3.


This is where the problem occurs: There is NO such number that is greater than 25%2F3 AND less than -5%2F3

So either there are no solutions, or you might have entered the problem incorrectly. So double check your book/worksheet.