How to right imaginary number with inequalities and in..

Hannibal lecter · 2016-12-24 04:01:41

Hi,
How to right imaginary number with inequalities and in interval notation like this :

x^2 ≥ -1

it is either x ≥ + √-1

or x ≥ - √-1

so how to right it in number Line? and in interval notation,

zetafunc · 2016-12-24 04:43:23

The complex numbers don't form an ordered field. Think about it: what does it mean to say that ? The only way we can compare 'sizes' of complex numbers is to take the modulus. The most you can say is that .

If is a real number, then , always. In fact, that's sometimes given as the definition of a real number.

Hannibal lecter · 2016-12-24 05:48:13

but I got this while I was trying to solve an inequality :

it make me feel confused with this x^2 + 1

I don't know how to end my solution

Last edited by Hannibal lecter (2016-12-24 05:52:23)

zetafunc · 2016-12-24 07:52:05

You can just multiply both sides by (since it is always positive) to get Do you see where to go from here?

Hannibal lecter · 2016-12-24 09:30:58

yes, the interval will be (-∞,-1] U [1,∞) right?

Last edited by Hannibal lecter (2016-12-24 09:31:21)

zetafunc · 2016-12-24 09:52:12

Yes.

bobbym · 2016-12-24 09:53:19

Hi;

That is what I am getting.

Hannibal lecter · 2016-12-24 10:10:35

now I'm good with absolute value hehehe but I'm not genius, I need to be genius in the future

bobbym · 2016-12-24 10:15:50

I knew a kid who everyone told him he was a genius. Pretty soon, his head got so big he could not squeeze it through his own front door. A few nights outside in the cold brought him back to reality and his head shrunk to normal size. He became a hard worker and forgot that genius stuff. He does not do much better than when he believed he was a god but he at least can get home and go through the door. The moral of this story? I have no idea.

Hannibal lecter · 2016-12-24 10:23:56

thank you

Math Is Fun Forum

#1 2016-12-24 04:01:41

How to right imaginary number with inequalities and in..

#2 2016-12-24 04:43:23

Re: How to right imaginary number with inequalities and in..

#3 2016-12-24 05:48:13

Re: How to right imaginary number with inequalities and in..

#4 2016-12-24 07:52:05

Re: How to right imaginary number with inequalities and in..

#5 2016-12-24 09:30:58

Re: How to right imaginary number with inequalities and in..

#6 2016-12-24 09:52:12

Re: How to right imaginary number with inequalities and in..

#7 2016-12-24 09:53:19

Re: How to right imaginary number with inequalities and in..

#8 2016-12-24 10:10:35

Re: How to right imaginary number with inequalities and in..

#9 2016-12-24 10:15:50

Re: How to right imaginary number with inequalities and in..

#10 2016-12-24 10:23:56

Re: How to right imaginary number with inequalities and in..

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