If `|A|gt19`, which of the following cannot be equal to A?

Options

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

Answer

To solve the problem, we need to determine which value of \( A \) cannot satisfy the condition \( |A| > 19 \).

### Step-by-Step Solution:

1. **Understanding the Condition**:
The condition \( |A| > 19 \) means that the absolute value of \( A \) must be greater than 19. This implies that \( A \) can either be greater than 19 or less than -19.

**Hint**: Remember that the absolute value of a number represents its distance from zero on the number line.

2. **Breaking Down the Condition**:
- If \( A > 19 \), then \( |A| = A \).
- If \( A < -19 \), then \( |A| = -A \) (which is positive).
- Therefore, \( A \) must be either \( A > 19 \) or \( A < -19 \).

**Hint**: Consider the two cases for absolute values: positive and negative.

3. **Evaluating Each Option**:
- **Option A: 26**
- \( |26| = 26 \), and \( 26 > 19 \). This satisfies the condition.
- **Option B: 22**
- \( |22| = 22 \), and \( 22 > 19 \). This satisfies the condition.
- **Option C: 18**
- \( |18| = 18 \), and \( 18 \) is **not** greater than 19. This does not satisfy the condition.
- **Option D: -20**
- \( |-20| = 20 \), and \( 20 > 19 \). This satisfies the condition.

**Hint**: Check each option to see if it meets the condition of being greater than 19 or less than -19.

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

**Final Answer**: The value that cannot be equal to \( A \) is **18**.