# Inequalities (Part 2)

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## Lesson details

### Key learning points

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

### 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.

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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?

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?

-3 > y < 5

-3 > y > 5

Q3.

Which of the following coordinates satisfies Zaki and Yasmin's rules?

(3,4)

(8,5)

Q4.

What is the following inequality saying? -3<x<5

the x-ordinate must be greater than -3 and greater 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

the x-ordinate must be less than 2 and greater than 5

### 5 Questions

Q1.

What is an integer?

A fraction

A special coordinate

The horizontal axis

Q2.

Complete the following sentence: On a horizontal line the..............

No ordinate stays the same

x-ordinate is always the same

Q3.

Which integer values can y be for the inequality shown above?

-2, -1, 0, 1, 2, 3

-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

Q5.

Which of the following coordinates satisfies the inequalities; -2 < x < 3 and -5 < y < 3?

(-2,-5)

(-3,3)

(3,2)