Solve the following absolute value inequality
18x|<2
Select the correct choice below and, if necessary, fill in the answer box to complete your choice
А.
В.
The solution set is
(Type your answer in interval notation. Simplify your answer.)
The solution set is the empty set
To solve the absolute value inequality 18x| < 2, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.
Case 1: 18x < 2
Divide both sides by 18:
x < 2/18
Simplify:
x < 1/9
Case 2: 18x > -2
Divide both sides by 18:
x > -2/18
Simplify:
x > -1/9
So, the solution set is (-1/9, 1/9), in interval notation.
Therefore, the correct choice is В.