*Question G4D08:
What frequency range is occupied by a 3 kHz LSB signal when the displayed carrier frequency is set to 7.178 MHz?*  

*Correct Answer is  C: 7.175 MHz to 7.178 MHz*  

### AI Response: (may contain errors)  

To determine the frequency range occupied by a 3 kHz LSB (Lower Sideband) signal when the displayed carrier frequency is set to 7.178 MHz, we need to understand how LSB modulation works.

### Explanation of the Correct Answer

1. **Understanding LSB**: In LSB modulation, the signal occupies frequencies below the carrier frequency. The bandwidth of the LSB signal is typically equal to the modulation frequency, which in this case is 3 kHz.

2. **Calculating the Frequency Range**:
   - The lower edge of the frequency range is calculated by subtracting the bandwidth from the carrier frequency:
     $$ 
     \text{Lower Frequency} = \text{Carrier Frequency} - \text{Bandwidth} 
     $$
     Substituting the values:
     $$
     \text{Lower Frequency} = 7.178 \text{ MHz} - 3 \text{ kHz} = 7.175 \text{ MHz} 
     $$
   - The upper edge of the frequency range is simply the carrier frequency:
     $$
     \text{Upper Frequency} = 7.178 \text{ MHz} 
     $$

3. **Final Frequency Range**: Therefore, the frequency range occupied by the 3 kHz LSB signal is from 7.175 MHz to 7.178 MHz.

### Why the Other Choices are Incorrect

- **Choice A: 7.178 MHz to 7.181 MHz**  
  - This range suggests the signal is above the carrier frequency, which is incorrect for LSB.

- **Choice B: 7.178 MHz to 7.184 MHz**  
  - Similar to Choice A, this range also indicates frequencies above the carrier frequency, which is not how LSB works.

- **Choice D: 7.1765 MHz to 7.1795 MHz**  
  - This range is too wide and does not accurately reflect the 3 kHz bandwidth below the carrier frequency.

### Summary

- The correct answer is **7.175 MHz to 7.178 MHz** because:
  - The LSB signal occupies frequencies below the carrier frequency.
  - The bandwidth of the LSB signal is 3 kHz, leading to the calculated range.

This understanding is crucial for interpreting frequency allocations and signal characteristics in amateur radio operations.