Graphing Inequalities: Key Concepts and Techniques

What symbol represents the 'less than' inequality?

• >

• <=

• <

• >=

If x is less than 5, which number would not be included on the graph?

• 4

• 2

• 3

• 5

In the inequality 'x is less than or equal to -1', which number is included on the graph?

• 0

• -2

• 1

• -1

What does an open circle on a number line indicate?

• The number is included

• The number is not included

• The graph is continuous

• None of the above

For the inequality 'x is greater than -10', in which direction does the line extend?

• No direction

• Left

• Right

• Both directions

Which symbol is used to represent 'greater than or equal to'?

• <=

• <

• >=

• >

In the context of inequalities, what does a filled circle on a number line typically indicate?

• None of the above

• The graph is discontinuous

• The number is included

• The number is not included

How would you graph 'x is greater than 5' on a number line?

• Open circle at 5, line to the right

• Closed circle at 5, line to the left

• Open circle at 5, line to the left

• Closed circle at 5, line to the right

For the inequality 'p is greater than -6', which is the correct graphical representation?

• Open circle at -6, line to the left

• Closed circle at -6, line to the right

• Closed circle at -6, line to the left

• Open circle at -6, line to the right

What does the inequality 'r is greater than or equal to 12' imply about the number 12?

• 12 is the only value

• 12 is not included

• 12 is included

• 12 is irrelevant