Graphing Linear Inequalities in Pre Algebra

What symbol is used to represent 'less than'?

• >=

• <=

• >

• <

Which circle type is used when the inequality does not include equality?

• Solid line

• Open circle

• Dotted circle

• Closed circle

What does the closed circle represent in inequality graphing?

• The solution is only one number

• The graph is incorrect

• The number is included in the solution

• The number is not included in the solution

What does an open circle on a graph indicate?

• The number is slightly less than the value

• The number is slightly greater than the value

• The number is not included in the solution set

• The number is the only solution

For 'X > 5', where should the open circle be placed?

• At 4

• At 5

• At 6

• At 0

In the example 'X > 5', why do we use an arrow?

• To show the inequality is false

• To indicate a mistake

• To represent continuation in one direction

• To highlight the number 5

How do you determine the direction to shade on the number line?

• Test a point to see if the inequality holds true

• Shade both directions

• Always shade to the left

• Always shade to the right

When graphing 'X <= -8', what type of circle is used?

• No circle

• Closed circle

• Open circle

• Dotted circle

Why is it recommended to use a positive number like 5 to test in 'X <= -8'?

• Because negative numbers are incorrect

• Because positive numbers are always the solution

• Because it's easier to understand

• Because it always proves the inequality false

Why might negative numbers be confusing when testing inequalities?

• They make the inequality true

• They can be harder to conceptualize

• They are always incorrect

• They reverse the inequality symbol