Solve the inequality |9x + 2| < 0.

There is no solution to the inequality |9x + 2| < 0.

To solve the inequality |9x + 2| < 0, we first need to understand what absolute value means. The absolute value of a number is its distance from zero on the number line. Therefore, the absolute value of any number is always non-negative.

In this case, we have |9x + 2| < 0. Since the absolute value of any number is always non-negative, there is no way for it to be less than zero. Therefore, there is no solution to this inequality.

We can also see this algebraically. Let's assume that there is a solution to the inequality. Then, we have:

|9x + 2| < 0
9x + 2 < 0 and -(9x + 2) < 0
9x < -2 and -9x < -2
x < -2/9 and x > 2/9

However, these two inequalities cannot be true at the same time. Therefore, there is no solution to the inequality |9x + 2| < 0.