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## Vineet Loomba is teaching live on Unacademy Plus

Vineet Loomba

IITian | No. 1 Educator in IIT-JEE (Maths) | 4 Million Minutes Watch Time | 8+ Years Experience | Youtube: Maths Wallah | vineetloomba.com

Comments

(62)

U

Unacademy user

Rk

Rakesh kumar

10 months ago

sir, also make more lessons of important post modern writers.. thanks sir for your beneficial lectures

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Ayushi Gupta

5 months ago

plz solve
x+4/x-2<2/x+1

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Keshav Kumar

5 months ago

x€(-infinity,-4)U(-1,2)

Ayushi Gupta

5 months ago

keshav, how did u find the factors of x^2+3x+8<0 ??

Akhilesh Pimparkhedkar

5 months ago

Ayushi, you make it very complicated...actually you dont have to make it into quadratic!
you can write the question as (x+4)(x+1)/(x-2) 2 < 0 by cross multiplication both are positive hence we dont change its signs!! and then 2 is also getting zero so it get simply as
(x+4)(x+1)/(x-2)<0 ! so now you can further solve it....and get (-infinity,-4) U (-1,2) !
:) :) :) :) :) :)

Ayushi Gupta

4 months ago

oh shit! that's vry simple. btw thnks akhilesh

Ayushi Gupta

4 months ago

but, I want to ask one more thing that if there is 1 instead of zero in rhs then how will i proceed like in this ques......4/(1+x)+2/(1-x)<1

Akhilesh Pimparkhedkar

4 months ago

I make one quadratic but I can not factorise that....can you send me answer if you have....it helps me to think in that way!

Ayushi Gupta

4 months ago

sure!
(-infinity,-1)U(1,infinity)
btw...I solved this ques. lf you'll have doubt u can ask.

Akhilesh Pimparkhedkar

4 months ago

thanks Ayushi.....;)

NG

Neeraj Gupta

4 months ago

Can you give me the answer to this question? 2x - 3/x + 4 < -3

Akhilesh Pimparkhedkar

4 months ago

(-4 , -9/5]

Ayushi Gupta

4 months ago

yeah! right

Abhay Kumar TIWARI

4 months ago

how did the answer came bro

Akhilesh Pimparkhedkar

4 months ago

add 3 on both the sides...then cross multiply...you get the equation as 5x+9/x+4 < 0
then apply our rules! we can not take -4 because it makes infinity so exclude that and its less than hence we have to take negative area which is (-4 , -9/5]

Alok Mishra

3 months ago

akhilesh it would be (-4,-9/5)...not (-4,-9/5]

Pilton Brahma

5 months ago

sir u said the denominator part will be in open interval but you're doing it opposite. I'm confused about rule 7 .Sir, please clarify

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Pilton Brahma

5 months ago

okay I just got it. theory clarified, I was being clumsy sry

Vineet Loomba

5 months ago

Great

Keshav Dutt Dwivedi

6 months ago

sir plz tell me ,in wavy curve method always sign convention we choose from right hand side and in most right side we choose '+' sign , is i am right sir

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Vineet Loomba

6 months ago

Yes

Keshav Dutt Dwivedi

6 months ago

No sir not necessary , in whole expression if -ve sign is their like -(x-2)(x-4) then i think in wavy curve method we start plotting sign from right hand side but in this time right side we choose -ve sign ,right sir!
thanks to respond
please reply on my concept

Vineet Loomba

6 months ago

If u follow my method then it is always +ve on right ..

Sanjeev Kumar

5 months ago

sir tegnomatri ke example karbaye

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Vineet Loomba

5 months ago

Wo Trigonometry ke course me krvayi hue h

Sanjeev Kumar

5 months ago

f{x-f{y}}=f{f{y}}+xf{y}+f{x}-1
|f{16}| ka maan

Sangram Kesari PATTANAIK

5 months ago

all concept clear ho gaya sir.thanks a lot.

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Vineet Loomba

5 months ago

Wlcm

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