Graphing Inequalities on a Number Line

The video tutorial explains how to graph inequalities on a number line. It introduces the concept of inequalities, describes the symbols used to express them, and provides detailed instructions on how to graph these inequalities. The tutorial covers both open and closed points on a number line and provides examples of inequalities using 'or' and 'and'. The video concludes with encouragement to watch more educational content.

What does the symbol ≠ signify?

• Greater than

• Not equal to

• Equal to

• Less than

Which symbol represents 'at least'?

• <

• ≤

• >

• ≥

What does the symbol > represent?

• Less than

• Greater than

• Equal to

• Not equal to

Which of the following is expressed by the symbol ≤?

• At least

• At most

• More than

• None of the above

What does an open point on a number line indicate?

• The solution is less than the number

• The number is not included in the solution

• The number is included in the solution

• The solution is greater than the number

What does a closed point on a number line signify?

• The number is not included in the solution

• The solution is equal to the number

• The number is included in the solution

• None of the above

How is the inequality x ≤ 5 or x > 8 graphed?

• None of the above

• Greater than 5 and less than 8

• Between 5 and 8

• Less than 5 and greater than 8

In the inequality 3 < x and x ≤ 6, where is the graph plotted?

• Greater than 3 and less than 6

• Less than 3 and greater than 6

• Between 3 and 6, not including 3

• Between 3 and 6, including 6