Solve the mathematical problem involving absolute value.

Question

2− |1/3 x −9| −5

Answer 1

To solve the expression \(2 - | \frac{1}{3} x - 9 | - 5\), we start by simplifying it:

1. Combine the constant terms: \[ 2 - 5 = -3 \] So, the expression simplifies to: \[ -3 - | \frac{1}{3} x - 9 | \]

2. We can rewrite the expression as: \[ -3 - | \frac{1}{3} x - 9 | \]

Now, there's no equation set up, but if we were to set this expression equal to zero to solve for \(x\), we would have: \[ -3 - | \frac{1}{3} x - 9 | = 0 \]

3. Rearranging gives: \[ | \frac{1}{3} x - 9 | = -3 \]

However, since the absolute value cannot be negative, this equation has no solution.

Thus, the conclusion is that there's no real solution for the expression \(2 - | \frac{1}{3} x - 9 | - 5 = 0\).

If you meant to evaluate the expression for different values of \(x\) or if you have a different equation in mind, please clarify!