# Linear Inequalities - Lesson 1

## Introduction to Notation

Sets of integers and real numbers can be represented on a

**number line.**An**interval**consists of all the numbers that lie within two certain boundaries. If the two boundaries, or fixed numbers, are included, then the interval is called a**closed interval.**If the fixed numbers are not included, then the interval is called an**open interval.**## Task 1

By dragging the dots, and changing the type of inequality using the slider, fill in the missing information onto your sheet.

## Task 2

Using the worksheet, and the applet try to formulate definitions for the meaning of the symbols on your sheet. Discuss your definitions with your neighbour and amend if necessary.

## Worksheet

## Task 3

An

**integer**is a whole number, positive, negative or zero. List the set of**integer**solutions which satisfy the inequalities given in question 3-6## Task 4

A compound inequality is an inequality that combines two simple inequalities.
For example:
The symbol means union, which can be interpreted as "or"
Use this information to answer questions 7 and 8

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