Inequalites

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing 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, in the inequality 6 > x, it means 6 is greater than x.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, in the inequality x < 8, it means x is less than 8.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 12 means x is either greater than or equal to 12.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 12 means x is either less than or equal to 12.

Front

How can you represent the statement 'A person must be no more than 12 years old' in inequality form?

Back

The statement can be represented as x ≤ 12.

Front

If x > 12, what does this imply about x?

Back

It implies that x is any number greater than 12.

Front

What are two numbers that satisfy the inequality x < 8?

Back

Examples of numbers that satisfy this inequality are 0.8 and 5.9.

Front

How would you express 'x is less than -3' in inequality form?

Back

This can be expressed as x < -3.

Front

What is the solution set for the inequality x > 12?

Back

The solution set includes all numbers greater than 12.