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Mathematics 22 Online
OpenStudy (faiqraees):

Difference between in Argand diagrams containing inequalities with > and ≥ signs?? Example Shade the appropriate region to satisfy the inequality |z|> 5 |z|≥ 5

OpenStudy (faiqraees):

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OpenStudy (mww):

Well |z| is your modulus i.e. distance from the complex number z to the origin (0,0) so you want a variable set of complex numbers z that is a certain distance from 0. This is a circle of radius 5 for |z| = 5 If you use the > sign, you're only interested in any thing with radius larger than the original circle. So you don't shade in the circle itself, but everything outside (so use dotted lines for the circle) ≥ means you include the circle as well as shade the outside so use a solid line

OpenStudy (phi):

I would think use a solid line for >= and a dashed line for > when graphing the "boundary"

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