Also, parabola going up with x intercepts of (-3,0) and (4,0). Values in between -3 and 4, is below the x-axis
@thevisitor7436
11 ай бұрын
. Idid not understand it this time.
@luisclementeortegasegovia8603
11 ай бұрын
The domain of a parabola is all real numbers. It does not have to do with intervals of domains.
@tastyrawmen
11 ай бұрын
I was about to comment this because it's much easier and quicker this way
@gabrijellukenda1315
10 ай бұрын
Yep
@CanalExtranho
11 ай бұрын
idk why but I like too much your way of speaking. Your voice is so good
@Haru_無限春
9 ай бұрын
Like that of a Voice model😮
@lucanijeanmarc2143
11 ай бұрын
Hi , i am french . Explainations are not the same in France ... It is complicaded . But this one is so easy for the pupils .. That is why i am going to teach this lesson to my daughter ..Thank you professor
@hardryv3719
11 ай бұрын
Fascinating, never saw that one before
@emalali9447
11 ай бұрын
I remember learning this in school and haven't forgotten. This seems so natural now.
@colinjava8447
10 ай бұрын
Another way (that I wouldn't do) which is purely algebraic, is: x^2 - x - 12 < 0 (x+3)(x-4) < 0 So "x+3 < 0 and x-4 > 0" or "x+3 > 0 and x-4 < 0" So "x < -3 and x > 4" or "x > -3 and x < 4" so "No solution" or "-3 < x < 4" so -3 < x < 4
@debashreeghosh9653
6 ай бұрын
Think that is only for continuous solutions in a inequality such as this
@함께-f3y
6 ай бұрын
좋은 방법인 것 같습니다. 직관적인 그림으로 그려본다면 x-y 좌표평면에서 부등식의 좌측식을 x의 함수로 표현하면 : y = (x+3)(x-4) 위 2차함수를 그려보면 y
@oryxisatthefront8338
11 ай бұрын
My professor taught me to just look at the inequality simbol and the sign of x^2: if the x^2 is positive and we have a > symbol or x^2 is negative and we have a < then the domain is of the values that are less than the smaller solution (in this case -3) and greater than the bigger solution (in this case 4). If x^2 is positive and we have a < symbol or x^2 is negative and we got a > symbol then the domain is every number between the two solutions. It seems like a lot through text but in practice it’s so much quicker (literally takes 2 seconds to find the domain) and way easier than having to plug the possible answers, especially as they get bigger (as another guy pointed out, it only works with quadratics)
@RunstarHomer
11 ай бұрын
That is a good shortcut but it is specific to quadratics. Finding the zeros and testing the intervals between them works for any kind of function. (as long as we can find the zeros!)
@boody_tube
10 ай бұрын
Man u simplified the whole preparatory stage
@venkybabu8140
11 ай бұрын
Neg 3 and 4 means that the curves are dual. Like sine.
@Quicklearners1418
11 ай бұрын
You are a great teacher sir💯💯💯....i will make my students learn your tricks in my native language♥️Keep up the good work
@mrhtutoring
11 ай бұрын
All the best
@seventhunder777
11 ай бұрын
That is good. Inequality was my weakness in school.
@alokburde02
2 ай бұрын
Wavy curve method left the chat 😂
@MatthewWardman
11 ай бұрын
I like to instead of using a number line to quickly sketch the graph with just the shape to see if I need to make the inequality between the critical values it outside of them
@aarututor
3 ай бұрын
wavy curve method is an easy method from exam point of view. But understanding concepts is very important
@moeberry8226
11 ай бұрын
Nice, now try solving a quadratic inequality that has only complex roots.
@ayoubkhlifi4903
9 ай бұрын
mmmm from morocco ,there is an easy way to do it ,i don't know if you learned such a similar thing,we will consider as if we solve x^2-x-12=0 Delta=1-4*-12+=49 so there is two solutions: x=(1+square(49))/2=(1+7)/2=8/2=4 x=(1-square(49))/2=(1-7)/2=6/2=3. we have ax^2 and a=1 which is positive. so x^2-x-12 will be negative in : ]3;4[ ,between this two numbers but 3 and 4 arent sulutions
@ayoubkhlifi4903
9 ай бұрын
oups there is a fault, (1-7)/2=-3 so basically the solutions are every x from: ]-3;4[
@ronweisenstern6142
11 ай бұрын
If you find the roots you can just graph it and see where it is over 0 and where it is under 0
@RonnyS.1900
11 ай бұрын
Inequalities with intervals , thaks for helping me revise this , please also do Modulas Inequalities and Max Min With modulas.
@Raj-h9e9u
4 ай бұрын
A big thank you sir 😌
@shcrub5
17 күн бұрын
Ty
@luisclementeortegasegovia8603
11 ай бұрын
Excelent proffesor 👍 the domain is restriced to (-3,4)
@mrhtutoring
11 ай бұрын
Yes, you are right
@f.r.y5857
11 ай бұрын
Wavy curve method (?)
@saketlele9455
11 ай бұрын
Yupp
@akivaschwartz3255
11 ай бұрын
Yessir
@Compl1cqted
11 ай бұрын
We can also write it as (-3,4)
@shauryajain6490
11 ай бұрын
No
@otinaj
11 ай бұрын
I think you ment ]-3;4[
@RonnyS.1900
11 ай бұрын
@@otinaj x E (-3,4) NOT [ ] BRACKETS COZ THE VALUE OF X IS BETWEEN THE NO.
@otinaj
11 ай бұрын
@RonnyS.1900 well x E ]-3;4[ specifically excludes the values -3 and 4, as is needed here. If you want to include the values, then xE [-3;4] [] or ][ is used for ranges and {} for a list of values
@Compl1cqted
11 ай бұрын
@@otinaj bro writing (-3,4) and ]-3,4[ is the same thing
@NOWORNEVER-mm5gn
11 ай бұрын
Hey you can just use the wavy curve method
@moulikhindolia4764
11 ай бұрын
It is the wavy curve he's just doing it slightly differently, instead of drawing a curve, he uses yes and no
@divineflu34567
11 ай бұрын
Curvy doesn't always give the whole answer so this method is more safeproof along with wavy curve method in my opinion
@laracroftchan6319
11 ай бұрын
I dont know why are u solving these questions but these are exactly there on my exams. Thanks for explaining 😭
@mrhtutoring
11 ай бұрын
Happy to help
@chebilya
11 ай бұрын
Good job but it's important to explain cases where the discriminant is less or equal to zero !
@carlitoz450
11 ай бұрын
why did we had your kind of teacher in the days...
@bartoo5075
10 ай бұрын
Why didn’t you showed us an example with drawing parabola? I think it’s easier, I mean you don’t have to put an “x” in inequality
@mrhtutoring
10 ай бұрын
I made a video with a parabola before. Wanted to show how it can also be done without a graph.
@Sterrum-Fe3d64s2
11 ай бұрын
Woah.... this is my lesson in math btw 🤩
@joycecasera548
11 ай бұрын
❤
@saudasiri3082
11 ай бұрын
I feel that the sound of chalk helps you stay focused during a lecture.
@mrhtutoring
11 ай бұрын
👍
@ErnestineV
11 ай бұрын
Pls teach me.mathematics sir 🙏🏿🙏🏿🙏🏿🙏🏿
@mikehood6745
11 ай бұрын
Nice, but doesn't exactly strike me as rigorous.
@AniqTheGreatKhotle
7 ай бұрын
Why is it -3 and +4?
@DrDeuteron
11 ай бұрын
You only need to solve one, and that it flips sign at non degenerate roots
@BiGSSSG
11 ай бұрын
You need to check the exponents
@timokimo8206
11 ай бұрын
👍🏼
@RoBotOnd
24 күн бұрын
I'm so done with math
@КатяРыбакова-ш2д
11 ай бұрын
Слишком длинно.
@dangerous_woman
10 ай бұрын
What about drawing + | - | + (with the rightmost + being the sign of the main coefficent)? If it's a rational function with division or multiplication you just multiply the signs of the terms with the biggest degree like [(+)(-)]/(+)=(-)
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