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

Front

What does the symbol '>' mean in inequalities?

Back

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

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 ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 7 means x is less than or equal to 7.

Front

How do you determine if a number is a solution to an inequality?

Back

To determine if a number is a solution to an inequality, substitute the number into the inequality and check if the statement is true.

Front

What is the solution to the inequality x > 5?

Back

The solution includes all numbers greater than 5, such as 6, 7, 8, etc.

Front

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

Back

The solution is x ≤ 13, meaning x can be any number less than or equal to 13.

Front

When graphing the inequality x < 4, what type of dot is used?

Back

An open dot is used when graphing x < 4, indicating that 4 is not included in the solution.

Front

When graphing the inequality x ≥ 2, what type of dot is used?

Back

A closed dot is used when graphing x ≥ 2, indicating that 2 is included in the solution.