Give+an+example+whose+solution+is+a+betweenness.Set6

Solve each of the following: (From Ms. Sweeney: note that these solutions are not correct!! How do you have to rewrite these!?)

1. | 7-2x |<5  7-2x<5 and 7-2x<-5 -2x<-2 and -2x<-12 2x>2 and 2x>12 x>1 and x>6 __x>1__

2. | 4-5x | < 11 4-5x<11 and 4-5x<-11 -5x<7 and -5x<-15 5x>-7 and 5x>15 x>-5/7 and x>1/3 __x>-5/7__ Sara Hyman SOLVED BY DAVID KATZ David- when you write the solution to a betweenness, you must write the variable in the middle, hence the name "betweenness" because the value of x is //between// two different numbers. also when you solve for two equations, you must flip the sign for the number you make negative. that is how you end up with a betweenness for a solution.