Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 4 means x is greater than 4.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

What does a closed circle on a number line represent?

Back

A closed circle indicates that the number is included in the solution set.

Front

What does an open circle on a number line represent?

Back

An open circle indicates that the number is not included in the solution set.

Front

How do you solve the inequality 5w ≥ 30?

Back

To solve for w, divide both sides by 5: w ≥ 6.

Front

What is the solution to the inequality 10 ≥ x - 3?

Back

The solution is x ≤ 13.

Front

How can you graph the inequality x < 4?

Back

Draw a number line, place an open circle at 4, and shade to the left.