Graphing Linear Inequalities in Pre Algebra

The video tutorial explains how to graph inequalities on a number line. It covers the use of open circles for inequalities without an equal component and closed circles for those with an equal component. The teacher provides examples, such as graphing x greater than 5 using an open circle and x less than or equal to 8 using a closed circle. The tutorial emphasizes testing points to determine the direction of shading on the number line.

What symbol is used to represent 'less than'?

• <

• >

• ≤

• ≥

When graphing 'greater than' on a number line, what type of circle is used?

• Dotted

• Closed

• Open

• Solid

What does a closed circle on a graph indicate?

• The solution is only negative numbers.

• The solution is only positive numbers.

• The number is included in the solution.

• The number is not included in the solution.

To graph 'X > 5', where should the circle be placed?

• At 6

• At 4

• At 0

• At 5

When graphing 'X > 5', in which direction should the line be drawn?

• To the left of 5

• Both directions from 5

• No line is drawn

• To the right of 5

How do you test if a point is part of the solution for 'X > 5'?

• Choose 5

• Choose a number greater than 5

• Choose 0

• Choose a number less than 5

For 'X ≤ -8', what type of circle is used?

• Solid

• Dotted

• Closed

• Open

Why is it suggested to use positive numbers when testing 'X ≤ -8'?

• They are easier to understand

• It makes the graph more accurate

• Negative numbers are not allowed

• Positive numbers are always the solution

If '5 ≤ -8' is false, what does that imply about the number 5?

• It is not part of the solution

• It is part of the solution

• It is an irrelevant number

• It is the only solution

Which of the following is true for 'X ≤ -8'?

• -9 is part of the solution

• 5 is part of the solution

• 0 is part of the solution

• 8 is part of the solution