SOLUTION: 1<-2x+7<9

Algebra ->  Graphs -> SOLUTION: 1<-2x+7<9      Log On


   

Question 119858: 1<-2x+7<9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!


1%3C-2x%2B7%3C9 Start with the given inequality





-6%3C-2x%3C2 Subtract 7 from all sides






3%3Ex%3E-1 Divide every side by -2 to isolate x. Remember, dividing every side of an inequality by a negative number flips the inequality signs




-1%3Cx%3C3 Rearrange the inequality.


So the solution in interval notation is: (-1,3)


Now let's graph the solution set



Note: at x=-1 there is a open circle (which means this point is excluded) and at x=3 there is a open circle (which means this point is excluded)