Graphing Inequalities Practice

The video tutorial covers graphing inequalities using IXL. It explains how to graph inequalities like X ≤ 8, X ≥ 3, and X < 5 by identifying border points and using open or closed circles. The tutorial provides step-by-step examples and clarifies when to use solid or open dots based on inequality symbols.

What symbol is used to represent a value that is exactly equal to the border point?

• Open circle

• Solid dot

• Arrow

• Dash

Which of the following inequalities would use an open circle in its graph representation?

• x is greater than or equal to 3

• x is less than or equal to 7

• x is equal to 5

• x is less than 8

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

• The inequality is not valid.

• The number is not included in the solution.

• The solution is only one number.

• The number is included in the solution.

How do you decide between using an open or closed circle when graphing an inequality?

• Use an open circle for 'equal to'

• Use a closed circle when the inequality does not include 'equal to'

• Always use an open circle

• Use a closed circle for 'equal to'

For the inequality 'x is less than or equal to 8', where should the arrow point?

• Towards 8

• No arrow needed

• Away from 8

• Towards 0

Which inequality symbol indicates that the graph should have an arrow pointing towards smaller numbers?

• Greater than

• Equal to

• Less than

• Greater than or equal to

When graphing 'x is greater than or equal to 3', which numbers are part of the solution?

• 4, 5, and 6

• 1, 2, and 3

• 3, 4, and 5

• Only 3

For the inequality 'x is greater than or equal to 3', what type of circle is used at the border point?

• Solid dot

• Dash

• Open circle

• No circle

What is the correct representation for 'x is less than 5'?

• Solid dot on 5 with arrow pointing left

• Open circle on 5 with arrow pointing right

• Open circle on 5 with arrow pointing left

• Solid dot on 5 with arrow pointing right

What does an arrow pointing left in the graph of an inequality indicate?

• Values greater than the border point

• Values less than the border point

• Values equal to the border point

• No values are included