solve the inequality |3-6x|<5

Question

help me solve this inequality please please pretty please

Answer 1

|3-6x|<5

Remember that there are two (2) answers.  Also, remember that if you multiply or divide by a negative number the sign changes.

3 - 6x < 5             and            3 - 6x > -5

-6x < 2                 and            -6x > -8

x > -2/6                and              x < 8/6

x > -1/3                and              x < 4/3 or 1 1/3

Answer 2

|3-6x|<5

3 - 6x < 5              -(3 - 6x)<5

-6x <  2                   -3+6x<5

x > 2/(-6)                 6x < 8

x>-1/3                      x< 8/6

x > - 0.333    and      x <   0.666