Graphing Inequalities on a Number Line

This video tutorial covers graphing inequalities on a number line, focusing on open and closed points. It explains how to represent inequalities like 'greater than', 'less than', 'greater than or equal to', and 'less than or equal to' using open and closed points. The tutorial also addresses complex inequalities involving 'or' and 'and', providing examples and a review to reinforce understanding.

What does an open point on a number line indicate?

• The number is less than the solution.

• The number is equal to the solution.

• The number is not included in the solution.

• The number is included in the solution.

If X is greater than 3, how would you represent it on a number line?

• A closed point at 3 with an arrow to the right.

• An open point at 3 with an arrow to the right.

• An open point at 3 with an arrow to the left.

• A closed point at 3 with an arrow to the left.

What does a closed point on a number line indicate?

• The number is included in the solution.

• The number is not included in the solution.

• The number is equal to the solution.

• The number is less than the solution.

How would you graph X is less than or equal to 6?

• A closed point at 6 with an arrow to the left.

• An open point at 6 with an arrow to the left.

• An open point at 6 with an arrow to the right.

• A closed point at 6 with an arrow to the right.

What happens when an inequality uses 'or'?

• The graph points in the same direction.

• The graph is a closed interval.

• The graph is a single point.

• The graph points in two different directions.

How would you graph X is greater than or equal to 5 or X is less than 2?

• An open point at 5 with an arrow to the right and a closed point at 2 with an arrow to the left.

• A closed point at 5 with an arrow to the right and an open point at 2 with an arrow to the left.

• A closed point at 5 with an arrow to the left and an open point at 2 with an arrow to the right.

• An open point at 5 with an arrow to the left and a closed point at 2 with an arrow to the right.

What does the 'and' condition in inequalities imply?

• The variable is between two points.

• The variable is not equal to any point.

• The variable is equal to one of the points.

• The variable is outside the range of two points.

How would you graph X is greater than or equal to 10?

• An open point at 10 with an arrow to the right.

• A closed point at 10 with an arrow to the right.

• An open point at 10 with an arrow to the left.

• A closed point at 10 with an arrow to the left.

What is the correct representation for X is less than 2?

• A closed point at 2 with an arrow to the left.

• An open point at 2 with an arrow to the left.

• A closed point at 2 with an arrow to the right.

• An open point at 2 with an arrow to the right.

Which of the following is true for greater than or equal to inequalities?

• They are represented with an open point.

• They are represented with a closed point.

• They are represented with a dashed line.

• They are represented with a dotted line.