Question

Solve

|3-v|<6

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

2.Solve the inequality and write the solution set.

Answer 1

|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