Both Real and Imaginary?

True or False?

The set of the purely real numbers is disjoint from the set of the purely imaginary numbers .

True False

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1 solution

Ron Lauterbach
Oct 8, 2017

The statement is false, if there exists a number both purely real and purely imaginary.

0 is a real number.

0 i 0i is an imaginary number.

0 = 0 i 0 = 0i

Therefore the correct answer is F a l s e \boxed{False} .

Inspiration: Complex Algebra Course

you tricky person, well actually of course it was a trick question, who am I kidding I knew that already that's not tricky.

chase marangu - 3 years ago

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