Year 8

Inequalities (Part 2)

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Year 8

Inequalities (Part 2)

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Lesson details

Key learning points

  1. In this lesson, we will be looking at representing inequalities on a Cartesian plane and on a number line.

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5 Questions

Q1.
Zaki says, "In my coordinate the x-ordinate must be greater than 3 and less than 8". Which of the following inequalities shows this?
Correct answer: 3<x<8
3>x<8
3>x>8
Q2.
Yasmin says, "In my coordinate the y-ordinate must be greater than -3 and less than 5". Which of the following inequalities shows this?
Correct answer: -3 < y < 5
-3 > y < 5
-3 > y > 5
Q3.
Which of the following coordinates satisfies Zaki and Yasmin's rules?
(3,4)
Correct answer: (4,2)
(8,5)
Q4.
What is the following inequality saying? -3<x<5
the x-ordinate must be greater than -3 and greater than 5
Correct answer: the x-ordinate must be greater than -3 and less than 5
the x-ordinate must be less than -3 and greater than 5
Q5.
What is the following inequality saying? 2<y<5
the x-ordinate must be greater than 2 and greater than 5
Correct answer: the x-ordinate must be greater than 2 and less than 5
the x-ordinate must be less than 2 and greater than 5

5 Questions

Q1.
What is an integer?
A fraction
A special coordinate
Correct answer: A whole number
The horizontal axis
Q2.
Complete the following sentence: On a horizontal line the..............
No ordinate stays the same
x-ordinate is always the same
Correct answer: y-ordinate is always the same
Q3.
Which integer values can y be for the inequality shown above?
An image in a quiz
-2, -1, 0, 1, 2, 3
Correct answer: -3, -2, -1, 0, 1, 2
-3, -2, -1, 0, 1, 2, 3
-3, -2.5, -1,5, 0, 1, 1.5, 2
Q4.
Which of the following inequalities covers the following integer values of x? -1, 0, 1, 2, 3, 4?
-1 < x < 4
-2 < x < 4
Correct answer: -2 < x < 5
Q5.
Which of the following coordinates satisfies the inequalities; -2 < x < 3 and -5 < y < 3?
(-2,-5)
(-3,3)
Correct answer: (0,2)
(3,2)