Question

lx+3l<5

Answer 1

x<2 x>-8

Answer 2

-5<x+3<5 from def abs value
-8<x<2 subtract 3 from all thre "sides"
interval notation is (-8, 2)

Answer 3

|x-a|<k where k is a postive number means the distance between x and a is less than k units

Answer 4

in your exampel you want the x values that are less than 5 units from -3