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I have the inequality

t > (1/2) + a / |w|^2

where w is a complex number, w = a + bi. So the a in the inequality is the

real part.

So I need to find t such that all w are in a sector around the negative real

axis. Note t in [0, 1].

I am having trouble figuring out the condition to impose.

For example, before I wanted to find t such that the entire negative half of the complex plane satisfied the above inequality. t > 1/2 clearly satisfied this. Now I want to find t such that a sector around the negative real

axis satisfies the above inequality.

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# Complex Inequality

Can you offer guidance or do you also need help?

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