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.

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