inequality review

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?

Back

The symbol '>' represents 'greater than' in an inequality.

Front

What does the symbol '<' represent?

Back

The symbol '<' represents 'less than' in an inequality.

Front

What does the symbol '≥' represent?

Back

The symbol '≥' represents 'greater than or equal to' in an inequality.

Front

What does the symbol '≤' represent?

Back

The symbol '≤' represents 'less than or equal to' in an inequality.

Front

How do you solve a simple inequality like x + 3 < 7?

Back

To solve x + 3 < 7, subtract 3 from both sides: x < 4.

Front

What is the solution set for the inequality 2x - 5 > 3?

Back

The solution set is x > 4.

Front

What is a compound inequality?

Back

A compound inequality combines two simple inequalities, such as a < x < b, indicating that x is between a and b.

Front

How do you graph the inequality x ≤ 3?

Back

To graph x ≤ 3, draw a solid dot on 3 and shade to the left.

Front

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

Back

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