The question is asking which properties must be used when adding or subtracting complex numbers.

The correct answer is commutative and inverse properties. Here's why:

• Commutative property: This property states that the order in which you add two numbers does not matter. In other words, for any two complex numbers $z_1$ and $z_2$, we have $z_1 + z_2 = z_2 + z_1$.
• Inverse property: The inverse property is necessary for subtraction because every complex number has an additive inverse. For example, the inverse of a complex number $z = a + bi$ is $-z = -a - bi$, which is required when performing subtraction.

The other options mention properties that aren't directly required for adding or subtracting complex numbers.

Would you like further details or clarification?

Here are 5 related questions:

1. How is the commutative property applied when multiplying complex numbers?
2. What is the associative property, and how does it apply to complex number operations?
3. How do you find the inverse of a complex number?
4. Can you explain the distributive property and its role in complex number multiplication?
5. How does the zero product property relate to complex numbers?

Tip: When adding or subtracting complex numbers, remember to handle the real and imaginary parts separately for clarity.