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

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

Back

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

Front

When graphing inequalities, what symbols indicate the use of a closed dot?

Back

The symbols ≤ and ≥ indicate the use of a closed dot.

Front

What does the inequality b ≤ -2 mean?

Back

It means b is less than or equal to -2, represented with a closed dot at -2 and a line extending to the left.

Front

How do you graph the inequality x < 4?

Back

You place an open dot at 4 and draw a line extending to the left.

Front

What is the difference between x < 4 and x ≤ 4?

Back

x < 4 means 4 is not included, while x ≤ 4 means 4 is included.

Front

What does the inequality x > 3 represent?

Back

It represents all numbers greater than 3, shown with an open dot at 3 and a line extending to the right.

Front

How do you represent the inequality b > -2 on a number line?

Back

You place an open dot at -2 and draw a line extending to the right.

Front

What does the inequality x ≤ 0 indicate?

Back

It indicates that x can be 0 or any negative number.