Graphing Inequalities

Front

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

Back

All numbers less than 4, represented with an open dot at 4 and shading to the left.

Front

What does the inequality b ≤ -2 indicate about the value of b?

Back

b can be any number less than or equal to -2, represented with a closed dot at -2 and shading to the left.

Front

If a student must be at least 15 years old to obtain a driver’s permit, what inequality represents this condition?

Back

x ≥ 15, meaning x can be 15 or any number greater than 15.

Front

When graphing the inequality x ≤ 3, what type of dot is used at 3?

Back

A closed dot is used at 3 to indicate that 3 is included in the solution.

Front

What does the inequality x > 5 mean in terms of a number line?

Back

All numbers greater than 5, represented with an open dot at 5 and shading to the right.

Front

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

Back

An open dot at -2 and shading to the left, indicating all numbers less than -2.

Front

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

Back

x < 4 does not include 4 (open dot), while x ≤ 4 includes 4 (closed dot).

Front

What does the inequality x ≥ -5 signify?

Back

All numbers greater than or equal to -5, represented with a closed dot at -5 and shading to the right.

Front

When graphing the inequality b ≥ -2, what does the graph look like?

Back

A closed dot at -2 and shading to the right, indicating all numbers greater than or equal to -2.

Front

What type of inequality is represented by a closed dot on a number line?

Back

Inequalities that include the endpoint, such as ≤ or ≥.