Checkpoint: The Complex Number System Solution

Classify by all sets to which it belongs: real, pure imaginary, complex. Then add to the Complex Number diagram (in the guided notes).

$26 i$
pure imaginary, complex

$3 + 7 i$
complex

Note

Q: Are real numbers complex numbers? Are imaginary numbers complex numbers? Explain.

A: Both real and imaginary numbers are also complex numbers. You can see this in the diagram. It shows the real numbers and imaginary numbers inside the complex number box.