Question

How do you solve `\frac { - 11+ i } { 15} < - 1`?

Answer 1

`i < -4`

Explanation:

I do lots of complex number problems, but when we have inequalities we're generally dealing with the real numbers, so we'll assume `i` is a real number we wish to constrain to satisfy the inequality.

`\frac{-11 + i}{15} < -1`

When we multiply both sides by `15`, a positive number, the inequality is preserved.

`- 11 + i < -15`

Adding `11` to both sides preserves the inequality as well.

`i < -4`

That's it.