L9: Indirect Method of Proof | Proof by Contradiction | Methods of Proof 3 | Discrete Mathematics

[@NavneetSingh-wc4ki]

All the best for tomorrow's exam....

[@viper1190_Snr]

Sir your deduction was incorrect in 3rd question 9:53 timestamp in your video.. When you reached the state x((x^2) + 4) = 0, you should have gone for this "One of the solution of x is x=0 from the above statement" but we assumed that 'negation of q' is true i.e. x not equal 0 So we now have contradiction. Why your deduction was incorrect ==> X belongs to real number (R) and Real Number = rational number + irrational Numbers And our assumption was 'Negation q is true' i.e. x not equal 0. therefore X can have any real number value except 0 x=+2i OR x=-2i holds TRUE

[@monalisakushwaha5673]

Excellent 🐸

[@karthiksukumaran85]

But real numbers can not have imaginery numbers.

[@theprincetilak2611]

GREAT EXPLANATION 🙌 I APPRECIATE YOUR HARDWORK

[@story_time_bd2512]

Sir, proof by case and proof by equivalance. Which one is direct amd which one is indirect?? Please reply sir.

[@Mbediting79]

Great sir 👍

[@AhamedKabeer-wn1jb]

Well explained Sir..

[@farzanayeasminsumana6045]

Very good explanation

[@harshitpal861]

In last question, in last step We can also get x=0 and hence the contradiction is proved ..?🤔

[@Shubham-hk6yf]

Ya bro both ways

[@TamimXplore]

it's really helpful!!!

[@SoumyaRanjan-w5j]

But -4 is a real number

[@rosewhiteboard7391]

I am thankful for this it helps me

[@Bikash0123]

Thank you sir

[@anandchauhan2179]

Sir please contradiction pe ek aur video banao please help

[@mariyamamreen439]

Auesome sir 🌺

[@shshvb]

Sir what is the meaning of not of q........plzz elaborate

[@GoogleRalCoderHUB9905]

Not q of contradiction meaning

[@shshvb]

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[@alphagaming5432]

mamu @@GoogleRalCoderHUB9905

[@kalashchourasiya3710]

Nice writing sir

[@baleshwarsah5691]

Sir kis condition me contradiction method use karte hai

[@sadakagaja]

Tq sir

[@muhammadsaqlian3920]

How true contradiction

[@ihteshamshah4897]

First example k end py he said not of Q is false but it is true😑 If I'm not wrong

[@fatimayaseen4057]

Yess.... another channel has also solved the same question with the same method . And they are totally confusing my mind!!

[@ihteshamshah4897]

@@fatimayaseen4057 myn to ab paper dy ai pta nai kia tha kia nai🙂

[@fatimayaseen4057]

😂 that's also good

[@ihteshamshah4897]

@@fatimayaseen4057 dua kijiye ga Result acha ay

[@badrinath218]

In first qstn he took (not of q)= even which means by putting an even number in 3n+2 , it should result to an odd number.....but after solving it by placing even number(i.e 2k) in place of n in 3n+2 it came out to be even and hence this is a contradiction

[@keerthiammu6293]

Thank you sir ❤🌼

[@meditationmanifestationmus6155]

Sir isme q false h kuki n to even proof ho gya

[@andistheinforitbutso7513]

Hahaha head spinning contradiction

[@andistheinforitbutso7513]

U r human proof: Assume that u r not human. Since u r human, You cannot b not human, i.e., u r human.

[@Durgaprasad_Nayak]

Hn 😅

[@imtiyazbashir8145]

-4 is real number ....real numbers encompasses all other numbers rational... irrational..integers and so on. Square of any real numbers CAN NEVER BE negative ..is the contradiction Plz do correct me if I am wrong

[@mathguru9736]

Last example wrong hy

[@adeelahmadismail5515]

SIR G APNA NUM SEND KAR DY

[@Tfibanisa-mwa]

which means true flase sir keep slow

[@DoubleL_Leo]

Thank you sir