Solve |a|-|18-9|+|4|<0: Multiple Absolute Value Inequality Analysis

To solve this problem, we'll follow these steps:

• Simplify the expression inside the inequality.
• Determine the necessary condition for $a$.
• Compare the result with the provided options.

Step 1: Simplify the expression.
We start by evaluating the fixed absolute values:
$|18 - 9| = 9$ and $|4| = 4$.
Substituting these values into the inequality gives us:
$|a| - 9 + 4 < 0.$

Step 2: Simplify further and solve for $|a|$.
Combine constants:
$|a| - 5 < 0$
Thus, we have:
$|a| < 5$.

Step 3: Apply the property of absolute values.
The inequality $|a| < 5$ implies that:
$-5 < a < 5$.

Therefore, the solution to the problem is $-5 < a < 5$.