Graphing Inequalities

Front

What is the difference between an open point and a closed point when graphing inequalities?

Back

An open point is used for inequalities that do not include the endpoint (e.g., <, >), while a closed point is used for inequalities that do include the endpoint (e.g., ≤, ≥).

Front

How do you represent 'x is less than or equal to 24' in inequality notation?

Back

x ≤ 24

Front

What does the inequality 2 > p mean in terms of graphing?

Back

It means that the graph will show all values of p that are less than 2, typically represented with an open point at 2.

Front

How can you determine what inequality a number line graph represents?

Back

Look at the direction of the arrow and whether the endpoint is open or closed to determine the inequality.

Front

What does a closed circle on a number line indicate?

Back

A closed circle indicates that the endpoint is included in the inequality (e.g., ≤ or ≥).

Front

What does the inequality x < -4 represent on a number line?

Back

It represents all values of x that are less than -4, with an open point at -4.

Front

When graphing the inequality x > 5, what type of point is used at 5?

Back

An open point is used at 5 because the inequality does not include 5.

Front

What is the graphical representation of the inequality p ≤ 3?

Back

A closed point at 3 and a shaded line extending to the left, indicating all values less than or equal to 3.

Front

How do you graph the inequality -2 < x ≤ 4?

Back

Use an open point at -2 and a closed point at 4, shading the region between them.

Front

What does the inequality 3 ≥ x indicate about the value of x?

Back

It indicates that x can be any value less than or equal to 3.