Answer:
-23/4<x<11/4
or
-5.75<x<2.75
Explanation:
|4x+6|<17
To solve the first part, assume the values inside the absolute are negative
So, -4x-6<17
-4x<23
Because the x is negative, you flip the sign to make it positive.
Thus, 4x>-23
x>-23/4 or -5.75
To solve the second part, assume the values inside the absolute are positive
So, 4x+6<17
4x<11
x<11/4 or 2.75