Question

How do you solve `\frac { | 2x - 1| } { 3} < 3`?

Answer 1

`-4< x<5`

Explanation:

Multiply both values by 3 to get `abs(2x-1)<9`

Since doing `abs()` takes the positive of the function, what is inside can be both positive or negative.

So, we have:
`2x-1<9` or `-2x+1<9`

`2x<10` or `2x>-8`

`x<5` or `x> -4`

`-4< x<5`