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 circle at 3 and a line extending to the right.

Front

What is the difference between an open circle and a closed circle on a number line?

Back

An open circle indicates that the number is not included in the solution (e.g., x < 6), while a closed circle indicates that the number is included (e.g., x ≤ 6).

Front

How do you represent the inequality b < 6 on a number line?

Back

You would use an open circle at 6 and shade to the left, indicating all numbers less than 6.

Front

What is the correct inequality for a graph that starts at 11 and includes all numbers greater than or equal to 11?

Back

The correct inequality is a ≥ 11.

Front

What does the inequality x < 5 mean in terms of possible values for x?

Back

It means x can be any number less than 5, but not including 5 itself.

Front

How do you graph the inequality x > 2?

Back

You would use an open circle at 2 and shade to the right, indicating all numbers greater than 2.

Front

What is the significance of the inequality symbol '≤'?

Back

The symbol '≤' means 'less than or equal to', indicating that the number can be equal to the value or less.

Front

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

Back

It includes all numbers less than or equal to 4, represented by a closed circle at 4 and a line extending to the left.

Front

How do you express the solution set for the inequality 3 < x ≤ 7?

Back

The solution set includes all numbers greater than 3 and less than or equal to 7.

Front

What is the meaning of the inequality symbol '≥'?

Back

The symbol '≥' means 'greater than or equal to', indicating that the number can be equal to the value or greater.