Graphing Inequalities and Understanding Inequality Symbols

What should you do if your teacher uses the toolkit for note-taking?

• Use the toolkit for unrelated subjects.

• Ignore the toolkit and use a regular notebook.

• Only use the toolkit for drawing graphs.

• Take notes on page 26 near the inequality symbols section.

Where should you take notes if your teacher does not use the toolkit?

• On the blackboard.

• In your math notebook.

• Digitally on a computer.

• On a separate sheet of paper.

What does an open boundary point on a graph indicate?

• The boundary value is included in the solution.

• The boundary value is not included in the solution.

• The graph will point to the left.

• The graph will point to the right.

What is the graphical representation of 'greater than' on a number line?

• An open circle pointing left.

• A closed circle pointing right.

• An open circle pointing right.

• A closed circle pointing left.

In the context of inequalities, what does a closed circle on a graph represent?

• Exclusion of the boundary value from the solution.

• Inclusion of the boundary value in the solution.

• The graph will extend indefinitely to the right.

• The graph will extend indefinitely to the left.

What does the arrowhead on the 'greater than or equal to' symbol indicate?

• It is only decorative and has no meaning.

• It indicates a closed boundary point.

• It points in the same direction as the inequality.

• It points in the opposite direction of the inequality.

Which direction does the graph for a 'less than' inequality point?

• Downwards

• Upwards

• To the left

• To the right

What does a closed boundary point on a graph typically signify?

• The boundary value is not part of the solution.

• The boundary value might be part of the solution.

• The boundary value is definitely part of the solution.

• The graph is incorrect.

How is the graph of 'x is greater than or equal to 7' represented?

• With a closed boundary point pointing right.

• With an open boundary point pointing right.

• With an open boundary point pointing left.

• With a closed boundary point pointing left.

In the example of graphing 'x is less than -5', why is the boundary point open?

• Because -5 is not included in the solution.

• Because values greater than -5 are considered.

• Because -5 is included in the solution.

• Because it indicates an error in graphing.