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