If `|A| > 19`, which of the following could not be equal to A?

Options

A. 26
B. 22
C. 18
D. `-20`

Answer

To solve the problem, we need to determine which of the given options cannot be equal to \( A \) given that \( |A| > 19 \).

### Step-by-step Solution:

1. **Understanding the Absolute Value Condition**:
We know that the absolute value \( |A| \) is defined as:
- \( |A| = A \) if \( A \geq 0 \)
- \( |A| = -A \) if \( A < 0 \)
Given \( |A| > 19 \), this means that \( A \) can either be greater than 19 or less than -19.

2. **Evaluating Each Option**:
Let's evaluate each option one by one to see if they satisfy the condition \( |A| > 19 \).

- **Option 1: \( A = 26 \)**
Since \( A = 26 \) is greater than 0, we have:
\[ |A| = 26 \]
Since \( 26 > 19 \), this option is valid.

- **Option 2: \( A = 22 \)**
Again, since \( A = 22 \) is greater than 0, we have:
\[ |A| = 22 \]
Since \( 22 > 19 \), this option is also valid.

- **Option 3: \( A = 18 \)**
Here, since \( A = 18 \) is also greater than 0, we have:
\[ |A| = 18 \]
Since \( 18 \) is not greater than \( 19 \), this option cannot satisfy the condition \( |A| > 19 \).

- **Option 4: \( A = -20 \)**
Since \( A = -20 \) is less than 0, we have:
\[ |A| = -(-20) = 20 \]
Since \( 20 > 19 \), this option is valid.

3. **Conclusion**:
The only option that does not satisfy the condition \( |A| > 19 \) is **Option 3: \( A = 18 \)**.

### Final Answer:
The option that could not be equal to \( A \) is **Option 3: \( A = 18 \)**.

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