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Lesson details
Key learning points
- In this lesson, we will learn how to shade regions between plotted lines to satisfy a set of inequalities.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
5 Questions
Q1.
Which of the following coordinates would y<3 satisfy?
(-1, 7)
(-2, 5)
(-3, 3)
Q2.
Which of the following coordinates would x > -2 satisfy?
(-2, 5)
(-3, 3)
(-7, 2)
Q3.
Which of the following coordinates would x + y > 5 satisfy?
(-3, 3)
(-7, 2)
(0, 5)
Q4.
Which of the following inequalities would satisfy the coordinates (3, -3)?
x > 3
y < -3
y < -4
Q5.
Which of the following inequalities would satisfy the coordinates (-1, -5)?
x + y > 1
x < -1
y > -4
5 Questions
Q1.
1) Which of the following regions represents x < 1?
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707137703%2Fvozut5deuj5fpunmmx05.png&w=640&q=75)
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707198811%2Fkzbojhec1w036opyjqzh.png&w=640&q=75)
Option 2
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707201277%2Fetkfhdsg4ge8t78neikx.png&w=640&q=75)
Option 3
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707203260%2Fzx9aflrwqurhxxki6mxh.png&w=640&q=75)
Option 4
Q2.
Which of the following regions represents "y is greater than or equal to -2"?
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707137711%2Fwbyjlegpozpjftxd2qg5.png&w=640&q=75)
Option 1
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707198816%2Fmtz8w5cj8ond5kobbmzx.png&w=640&q=75)
Option 2
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707201281%2Fez1kpiv6jdv3mzjryngs.png&w=640&q=75)
Option 3
![](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707203294%2Fg2booprfso6laxdbwmie.png&w=640&q=75)
Q3.
Which inequality has been drawn on the axes below?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166533%2Fnmygucbam2mifn7fwrdc.png&w=640&q=75)
x + y < -4
x + y > -4
x + y > 4
Q4.
Which inequality has been drawn on the axes below?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166543%2Fanzzgzqgtnxld1gclhsi.png&w=384&q=75)
y < -2x + 2
y > -2x + 2
y > 2x + 2
Q5.
5) Which shape is bound by the inequalities: x < 1, y < 3, x > -1, y > -3?
Rectangle
Trapezium
Triangle