inequality

[west zenith]

lmk if its all real numbers or not

[velvet fog]

1. Do not ping the Moderators, unless someone is breaking the rules.
2. Do not ping the Helper Moderators, unless there is a conflict between helpers.
3. Do not ping other members randomly for help.
4. Ask your question and show the work you've done so far. If you've posted a screenshot of a question, specify which part you need help with.
5. Wait patiently for a helper to come along.
6. If the Helper has answered your question, remember to thank them with the Mathematics Ranks bot and close the thread with:

+close
Feel free to nominate the person for helper of the week in #helper-nominations
If you're happy with the help you got here, and the server overall, you can contribute financially as well:

[muted nimbus]

Does $x^2 + 1 = x(x + 1)$?

[oak plinth]

Techie Literate

[west zenith]

oh god NO

realised my mistake;-;

[west zenith]

no

[muted nimbus]

Right.

[west zenith]

tysm

[near pumice]

(You can also just multiply both sides by x^2+1 from the start)

Since it is not being compared to 0

Then a trivial case will pop up

[west zenith]

so as to cancel x^2+1 in the denominator on LHS?

[near pumice]

Yes.

[west zenith]

?

[west zenith]

TY!

[near pumice]

Yep.

[west zenith]

also, a small ques, are x E R and x E (-inf, -1] u (0, inf) the same?

[near pumice]

No, it excludes $x\in (-1, 0)$.

[oak plinth]

Kocher

[west zenith]

∈=E(just copied frm google)

[near pumice]

The latter, at least.

[west zenith]

but

[near pumice]

$x\in\mathbb{R}\implies x\in (-\infty, \infty)$

[oak plinth]

Kocher

[west zenith]

ok

got it

[near pumice]

Is this set you proposed:

1. Continuous?
2. Contain the reals on the discontinuous intervals?

The answer to both these question is no, so it isn’t the reals.

[west zenith]

set as in the wrong set i proposed?

[near pumice]

Yes.

[near pumice]

Only one of these questions needs to be false in order for it to not be the set of reals.

[west zenith]

ok, i'll keep these in my mind

hey

1. what does ''Contain the reals on the discontinuous intervals'' mean tho

if its discontinuous set then shoulnt it already 'not be real'/?

2. and apart from R and (-inf,inf) there's no way of representing a set containing all real numbers?

[near pumice]

Yeah, I was just adding a little extra.

[blissful sparrow]

rationalUirrational

[west zenith]

r u answering the 1st ques?

[west zenith]

huh?

where

+close

[formal bane]

Please thank your Helpers before closing!

Please thank the helpers who assisted you by clicking the buttons below. You can thank each helper only once. Once you're done, click "Close Post" to close this thread.

[formal bane]

Thank you for your feedback! Kocher has been awarded 1 . They now have 1059 . They have 1 daily left for today.

[formal bane]

Techie Literate Thank you for helping our users, however our Mathematics Team cares about the health of its members, so you can no longer receive since you surpassed your daily limit, but don't worry, it will be reset tomorrow.

[formal bane]

@west zenith

:HelpIcon:| Help Reminder

Hello 107chess.com, this is a friendly reminder that your help request has been inactive for more than 24 hours. If you no longer need assistance, please consider closing the thread using the +close command. This thread will be automatically closed in 3 days if it remains inactive.