Graphing Inequalities on a Number Line

The video tutorial covers graphing inequalities on a number line, explaining the use of open and closed circles based on whether the inequality includes the number. It provides a cheat sheet for symbols and demonstrates graphing for 'less than', 'less than or equal to', 'greater than', and 'greater than or equal to'. Real-life scenarios are used to illustrate the application of inequalities. The tutorial also addresses graphing with negative numbers and concludes with a review and practice examples.

What symbol represents 'less than'?

• =

• <

• <=

• >

When graphing 'x is less than 4', the circle on the number 4 should be:

• Double circled

• Closed

• Open

• Shaded

In the inequality 'x is greater than or equal to 4', how is the circle on the number line represented?

• Open

• Closed

• With an arrow

• Not represented

If you need at least 2 people to help shovel snow, how would you represent this on a number line?

• x >= 2

• x <= 2

• x > 2

• x < 2

How is 'x is less than 30 cookies' graphed on a number line?

• With a closed circle on 30

• Not graphed

• With an open circle on 30

• With a shaded circle on 30

For the inequality 'x > 7', the graph representation would have:

• A closed circle on 7 with an arrow pointing left

• No circle on 7

• A shaded circle on 7

• An open circle on 7 with an arrow pointing right

When graphing 'x is greater than or equal to -2', the circle should be:

• Closed and to the right

• Open and to the right

• Open and to the left

• Closed and to the left

If an inequality has 'x' and '-6' going to the left, is the circle open or closed?

• Double circled

• Shaded

• Closed

• Open

In the context of graphing inequalities, what does a shaded circle typically indicate?

• The inequality is positive

• The number is not included

• The number is included

• The inequality is negative

What does an open circle on a graphed inequality usually signify?

• The inequality is equal to

• The number is included

• The number is not included

• The graph is incorrect