Question

Solve |5x - 1|<1

Answer 1

toot pado :P

Answer 2

again use that-
if IxI<a , then -a<x<a
now just substitute a as well as x, then simplify by transposing.

Answer 3

CaseI :5x-1 < 1 5x<2 x<2/5

CaseII: 5x - 1 <-1 5x<0 x<0

Answer 4

\[\rm|5x - 1| <1\]means\[\rm5x - 1<1 ~and~5x -1>-1\]

Answer 5

i.e. -1<5x-1<1

now add 1 on all sides then divide by 5 on all sides.