Inequalities on a graph - GCSE mathematics level 5 question

This video is all about inequalities on a graph and forms part of the playlist how to draw an inequality on a graph. I've also added to the playlist on GCSE mathematics higher revision.

The question is around level 5 on a GCSE maths paper:
Draw the region R that satisfies the inequalities x is greater than 2, y is less than or equal to x, x + y is less than or equal to 6, y is greater than 0.

The point P with co-ordinates (x, y) lies inside the region R. x and y are integers. Write down the coordinates of all the possible points of P.

The answers are (3,1), (3,2), (3,3), (4,1), (4,2), (5,1).


I hope the video helps and please do leave a comment - thanks!

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The course contains around 3 hours of video, quizzes and a copy of my book 'How to get an A in maths.' All the way through to GCSE and just in time for revision.

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[sqwekyrcon]

How did you find the line for the x+y ≥ 6?

[tabbymahjub]

Hi, how do you know which are the specific coordinates

[charliebrett]

Thank you! How would i do -2<x<1

[ayubazam]

How do you write down inequalities by looking at a graph

[hannahlawal]

Would this be on a non calculator paper or a calculator?

[sanjayprasath]

I cant understand what is possible Co ordinance

[elly]

Hi, please is the line y=x always drawn in a diagonal direction?
thank you

[qanzii]

hell yeah i'm doing a level and i literally never understood this

[abdelrahmanhatem]

You have to add more information about it

[flamingginder]

how do i find the third inequalities i didn't know how to solve

[swiftly]

Couldn’t you just work out x+y < (or equal to) 6
As
X 1 2 3
Y 5 4 3