Question

solve |4x-11|<5. show all your work

Answer 1

|4x-11| may be either (4x-11) or -(4x-11)
so 4x-11<5 or -(4x-11)<5
4x<16 or -4x<-6
x<4 or 4x>6
x<4 or x>3/2
so combining these two 1.5<x<4

Answer 2

|x|<a , if a is constant ...then -a < x <a
-> |4x-11|<5
-> -5< 4x-11 < 5
-> -5+11 < 4x-11+11 <5+11 adding 11 in each term
-> 6 < 4x < 16
-> (3/2) < x < 4 ans