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, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'. For example, '2 < 5' means 2 is less than 5.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'. For example, '5 > 2' means 5 is greater than 2.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, 'x ≤ 3' means x is less than or equal to 3.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, 'x ≥ 3' means x is greater than or equal to 3.

Front

How do you solve the inequality x - 3 > -3?

Back

To solve x - 3 > -3, add 3 to both sides to get x > 0.

Front

What is the solution set for the inequality 2.75 < d?

Back

The solution set for the inequality 2.75 < d is all real numbers greater than 2.75.

Front

How do you represent the solution of an inequality on a number line?

Back

To represent the solution of an inequality on a number line, use an open circle for 'less than' or 'greater than' and a closed circle for 'less than or equal to' or 'greater than or equal to', and shade the appropriate direction.

Front

What is the solution to the inequality 15 > -5 + z?

Back

To solve 15 > -5 + z, add 5 to both sides to get 20 > z, or z < 20.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary value, while non-strict inequalities (≤, ≥) do include the boundary value.