Graphing Inequalities: Key Concepts and Techniques

What symbol is used on the number line for values not included in the solution?

• A dashed line

• A solid line

• An open circle

• A shaded circle

Which direction does the arrow point when graphing X < -1?

• To the right

• Downwards

• To the left

• Upwards

When graphing inequalities, what does an open circle indicate?

• The solution is only this number

• The number is included in the solution

• The solution is all numbers except this one

• The number is not included in the solution

For the inequality X > -2, where is the arrow drawn?

• None of the above

• To the right of -2

• To the left of -2

• Directly on -2

In the context of inequalities, what does an arrow to the right signify?

• No values satisfy the condition

• Values greater than the number

• Values equal to the number

• Values less than the number

What does a shaded circle represent in an inequality graph?

• The solution is undefined

• The number is included in the solution

• The number is not included in the solution

• The solution is infinite

What does the inequality X >= -3 indicate about -3?

• -3 is the maximum solution

• -3 is included in the solution

• -3 is the only solution

• -3 is not included in the solution

Why is the circle shaded when graphing X >= -3?

• To signify that -3 is included in the solution

• To highlight that -3 is the maximum value

• To show that -3 is the only solution

• To indicate -3 is not part of the solution

How is the inequality symbol related to the direction of the arrow in graphing?

• Depends on the value of X

• No relation

• Opposite direction

• Same direction as the symbol points

What is the significance of the position of X in an inequality when determining the direction of the arrow?

• Indicates whether the circle should be open or shaded

• Determines the direction of the arrow

• No significance

• Specifies the numerical value of the solution