Graphing Inequalities

Front

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

Back

It represents all numbers less than -4, shown with an open dot at -4 and a line extending to the left.

Front

What does the inequality x ≥ 15 mean in terms of age for obtaining a driver’s permit?

Back

It means a student must be 15 years old or older to obtain a driver’s permit.

Front

When graphing the inequality x ≤ 4, what type of dot is used?

Back

A closed dot is used to indicate that 4 is included in the solution.

Front

What type of dot is used when graphing the inequality x < 4?

Back

An open dot is used to indicate that 4 is not included in the solution.

Front

Match the graph with the inequality: a ≥ 11. What does this mean?

Back

It means that 'a' can be 11 or any number greater than 11, represented with a closed dot at 11 and a line extending to the right.

Front

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

Back

≤ includes the endpoint (closed dot), while < does not include the endpoint (open dot).

Front

How do you represent the inequality x > 3 on a number line?

Back

Use an open dot at 3 and shade the line to the right.

Front

What does the inequality x ≤ -2 indicate about the values of x?

Back

It indicates that x can be -2 or any number less than -2.

Front

If a student is younger than 15, which inequality represents this situation?

Back

x < 15 represents that the student is younger than 15.

Front

What does the inequality a < 11 signify?

Back

It signifies that 'a' can be any number less than 11, represented with an open dot at 11 and shading to the left.