Understanding Inequalities

The video tutorial explains inequalities, their symbols, and how to graph them on a number line. It covers the meanings of different inequality symbols, such as 'not equal to', 'greater than or equal to', and 'less than or equal to'. The tutorial also demonstrates how to graph inequalities using open and closed points, and how to handle compound inequalities. Several examples are provided to illustrate these concepts, helping viewers understand how to graph inequalities effectively.

Which symbol is used to indicate that two expressions are not equal?

• Equal to

• Not equal to

• Less than

• Greater than

What does an open point on a number line signify?

• The number is greater

• The number is equal

• The number is not included

• The number is included

How is 'greater than or equal to' represented on a number line?

• With a dashed line

• With a dotted line

• With a closed point

• With an open point

What does a closed point on a number line indicate?

• The number is not included

• The number is included

• The number is less

• The number is more

How is an inequality with 'or' represented on a graph?

• With a single line

• With two lines pointing in the same direction

• With two lines pointing in different directions

• With a circle

In the inequality '4 < x < 9', where is the graph located?

• Between 4 and 9

• To the right of 9

• At 4 and 9

• To the left of 4

What type of point is used for 'x is less than 2'?

• Open point

• Closed point

• Dashed point

• Solid point

For the inequality 'x ≥ 10', what type of point is used?

• Dashed point

• Closed point

• Open point

• Solid point

How is the inequality 'x ≤ 5 or x > 8' represented on a graph?

• With a single line

• With a circle

• With two lines pointing in the same direction

• With two lines pointing in different directions

What is the purpose of using open and closed points in graphing inequalities?

• To highlight the midpoint

• To specify whether a number is included or not

• To show the range of numbers

• To indicate the direction of the graph