Solve: | 3 x − 1 | < 4

Answer 1

l3x-1l<4 with this absolute value and the "<" sign you can simply write...

-4<3x-1<4

-3<3x<5

-1<x<5/3

Answer 2

As this is an absolute value, we can have 2 values for x, therefore, 2 equations.

3x - 1 < 4

-(3x - 1) < 4

The positive and the negative 4.

3x -1 < 4

3x < 5

x < 5/3

-(3x - 1) < 4

Sign flips when you divide by a negative number (here by -1)

3x - 1 > -4

3x > -3

x > 3