Question

question 3 of 10
subtract the following complex numbers:
(11 - 7i) - (16 - 11i)

a. -5 - 18i
b. 5 + 4i
c. 5 - 18i
d. -5 + 4i

Explanation:

Step1: Distribute the negative sign

To subtract the complex numbers \((11 - 7i)-(16 - 11i)\), we first distribute the negative sign to the second complex number. This gives us \(11 - 7i - 16 + 11i\).

Step2: Combine the real parts and the imaginary parts

For the real parts: \(11-16=-5\).
For the imaginary parts: \(-7i + 11i = 4i\).
Combining these results, we get \(-5 + 4i\).

Answer:

D. \(-5 + 4i\)