INTERVALS ON THE NUMBER LINE

In this page you will learn about INTERVALS ON THE NUMBER LINE, a Mathematics Paper 1 topic that is also a recommended learning topic for grade 10 students. Study or download the notes with questions and answers.

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About INTERVALS ON THE NUMBER LINE

In these notes you are going to be able to learn about INTERVALS ON THE NUMBER LINE as you go through notes and exercises to help you practice calculating and solving relevant questions. Make sure to go through all the notes, questions and answers and also complete the Mastery Quizzes so that you can deepen your understanding and master this topic.

Note that “INTERVALS ON THE NUMBER LINE” is a sub topic and you can also access more grade 10 notes, questions and answers under the main topic “Numbers And Number Patterns” which is one of the recommended learning topics in the Grade 10 Mathematics Curriculum.

What is an interval?

In mathematics, an interval refers to a range of numbers between two specified endpoints (upper and/or lower limits).

Examples:

1.

Note that -2 is included and 3 is excluded. And also $-2$ but less than 3 or x is within the range of -2 to 3, including -2 but excluding 3. Therefore its important to know that all real numbers are included in the interval.

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2.

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3.

Note that he minimum value of x is 3.

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4.

Note that he minimum value of x is -2.

Mixed Exercises

1. Write each of the following in interval notation (if applicable) and illustrate each on a number line.

1.1

1.2

1.3

1.4

The values of x have been represented in set-builder notation through these questions.

2. Rewrite the following in interval notation and algebraic form:

2.1

2.2

3. In what range can you find

3.1 the positive proper fractions

3.2 What are proper fractions with a negative value?

3.3 Express all proper fractions in three formats: algebraically, in interval notation, and visually on a number line.

Answers Without Explanations:

1.1

1.2

1.3

1.4

2.1

2.2

3.1

3.2

3.3

See Answer Explanations

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