Graphing Inequalities

Front

What does the inequality x ≥ 3 represent on a number line?

Back

The graph includes all numbers greater than or equal to 3, represented by a closed dot at 3 and a line extending to the right.

Front

When graphing an inequality, what does an open dot signify?

Back

An open dot signifies that the endpoint is not included in the solution set, used for inequalities with < or >.

Front

What does the inequality k < 3 indicate about the values of k?

Back

The values of k are all numbers less than 3, represented by an open dot at 3 and a line extending to the left.

Front

How do you represent the inequality p < 2 on a number line?

Back

You place an open dot at 2 and draw a line extending to the left, indicating all values less than 2.

Front

What is the difference between the symbols < and ≤ in inequalities?

Back

< means 'less than' and does not include the endpoint, while ≤ means 'less than or equal to' and includes the endpoint.

Front

How would you graph the inequality x > 5?

Back

You would place an open dot at 5 and draw a line extending to the right, indicating all values greater than 5.

Front

What does the inequality y ≤ -1 represent on a number line?

Back

It includes all values less than or equal to -1, represented by a closed dot at -1 and a line extending to the left.

Front

What is the correct graph for the inequality z ≥ 4?

Back

A closed dot at 4 with a line extending to the right, indicating all values greater than or equal to 4.

Front

How do you determine if a graph correctly represents the inequality k < 3?

Back

Check for an open dot at 3 and a line extending to the left, indicating all values less than 3.

Front

What is the significance of the closed dot in graphing inequalities?

Back

A closed dot indicates that the endpoint is included in the solution set, used for ≤ or ≥.