Solve

|3-v|<6

1. Write the inequality as two inequalities without absolute value.

2. Solve the inequality and write the solution set.

|3-v| < 6

1) Write the inequality as two inequalities without absolute value:

1st inequality: 3 < 6

2nd inequality: - v < 6

2)

|3-v| < 6

-3 - 3

|-v| < 3

v < 3

v = 2

3 - v < 6

3 - 2 < 6

1 < 6