Solve and graph the absolute value inequality:-8>-5x+2>-38?

Hello:

:-8>-5x+2>-38 equiv:

-38 < - 5x+2 < - 8

let : f (x) = - 5x+2 ... (graph color red)

g (x) = - 38 ... (graph color pruple)

h (x) = - 8 ... (graph color blue)

the absolute value inequality is : ] 2, 8 [ (between the graph of g and h)