I love how this channel explains everything clearly and step by step so you can understand exactly how to answer these questions, and also why you do a certain step. This channel is slowly clearing up all the doubts I have about certain topics!
1) if original equation is less 0 and x is positive then we highlight the below part of graph 2) If orignal equation is less 0 but x is negative than we highlight the legs above the line graphs 3) if original equation is greater than 0 and x is positive we highlight the upper legs of the graph 4) if original equation is greater than 0 but x is negative then we highlight the lower part below line graph
The turning point isn't needed for this sketch as we are only interested in the roots, where it crosses the axes. For a true sketch sure you might want to plot the coordinates but it isn't needed for this.
@@1stClassMaths I think she/he meant by why is it that 1 [less and equal to] x [less and equal to] 5. The one that was crossed out cuz i am also confused at the part.
The factorisation is (x-1)(x-5) Then we need to consider the critical values which are found by solving (X-1)(x-5) = 0 This gives x-1=0 and x-5=0 With solutions x = 1 and x = 5
I love how this channel explains everything clearly and step by step so you can understand exactly how to answer these questions, and also why you do a certain step. This channel is slowly clearing up all the doubts I have about certain topics!
Thanks that is very kind of you.
i have to teach myself for gcse and this is super helpful! thank you
You're so welcome!
This approach is much more comprehensible than drawing the inequality line. Thank you!
God bless u this saved me in a level maths when no one else was there to save me
lmao same
only explanation that actually made sense. thank you!
One of the best explanation on this topic, big👍
Literally the only video that has ever helped me. Thankyouuu. May nothing but good happen to you.
Glad to hear it!
why do you explain better than my math teacher ? I love ur videos the help me clear my concepts
this got explained to me in a really confusing way in my lesson this helped so much thank you!!
Actually the last method was easier
Thank you very much😊
You're welcome 😊
Thank you so much this was so helpful.
Thank you so much. This is clearly explained and very helpful.
You're very welcome!
something that I realised is that whenever the sign is greater than/ greater or equals to we'll always have two solutions one here x....
That is correct unless the quadratic is -x^2 in which case it will be the other way as the graph will go the other way too.
1) if original equation is less 0 and x is positive then we highlight the below part of graph
2) If orignal equation is less 0 but x is negative than we highlight the legs above the line graphs
3) if original equation is greater than 0 and x is positive we highlight the upper legs of the graph
4) if original equation is greater than 0 but x is negative then we highlight the lower part below line graph
thanks dude today is my exam and u saveedd me
quiz thank you king 👑👑👑
I loved this explanation thanks
You are welcome!
EARNED MY FREAKING SUB THIS WAS SO HARD
HELLO I HOPE IT IS A BIT EASIER NOW THANK YOU FOR SUB
what about if there was a number infront of the x in the inequality?
Do you mean the x^2?
@@1stClassMaths i meant for example if a question asked me to solve 6x^2+11x-10
@@y0wrld724 your critical values would just be fractions, so -5/2 and 2/3 and plot those on the graph = -5/2 < x < 2/3
@@1stClassMathsig the person meant to say the "coefficient"
the voice-over sounds like onion from 'apple and onion'. Super helpful video :)
I wish I sounded like Richard Ayoade
Very useful
Glad you think so!
Love the vids keep it up!!! 👌
Thanks! Will do!
I needed this very much thanks alot
Thx for the video man
No problem 👍
Is question 3 on the edexcel doc do able? I don't understand how you factorised it
Oops that’s an error by me. Meant to be 2x. Thanks for letting me know.
I have fixed it now :D
@@1stClassMaths thank you
I can understand your whole solution, but didn't understand how you are making the range of x > or x
How did you sketch the graph without finding out the turning point?
The turning point isn't needed for this sketch as we are only interested in the roots, where it crosses the axes. For a true sketch sure you might want to plot the coordinates but it isn't needed for this.
@@1stClassMaths Got it, thankyou
why is the inequality sign changing in the answer of the third example?
Not sure what you mean?
@@1stClassMaths I think she/he meant by why is it that 1 [less and equal to] x [less and equal to] 5. The one that was crossed out cuz i am also confused at the part.
Thank you sir
I need an explicit explanation on Integration
how did he find the six in the second example ?????????
He factorised it so basically you have to look for a number that adds to -3 and multiply to -18 which is -6 and + 3
Why when you got (x-1) and (x-5) you wrote them as a positive 1 and 5
The factorisation is (x-1)(x-5)
Then we need to consider the critical values which are found by solving
(X-1)(x-5) = 0
This gives x-1=0 and x-5=0
With solutions x = 1 and x = 5
May god protect you
I love u