SOLUTION: i need help with this badly. i just dont get it. Write an open sentence involving absolute value. cant do the number line, but on the number line its x<-5 or x>-1

Algebra ->  Equations -> SOLUTION: i need help with this badly. i just dont get it. Write an open sentence involving absolute value. cant do the number line, but on the number line its x<-5 or x>-1      Log On


   



Question 66797: i need help with this badly. i just dont get it.
Write an open sentence involving absolute value.
cant do the number line, but on the number line its x<-5 or x>-1

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
<=======(-5)-----------(-1)===========>
Think as a parabola: y = a|x - h| + k
where (-5,0) and (-1,0) are points on the x-axis
vertex: (-3,y0)
y = a|x + 3| + y0 ... define a = 1 to delete the x-tra variable
0 = |-5 + 3| + y0
-y0 = 2
y0 = -2
vertex (-3,-2)
y = |x + 3| - 2
0+%3C+abs%28x+%2B+3%29+-+2
2+%3C+abs%28x+%2B+3%29
2+%3C+x+%2B+3 and -2+%3E+x+%2B+3
-1+%3C+x and -5+%3E+x