Inequality Word Problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, x < 10 means x is less than 10.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, x > 10 means x is greater than 10.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 10 means x is less than or equal to 10.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 10 means x is greater than or equal to 10.

Front

How do you represent 'at least' in an inequality?

Back

'At least' is represented by the symbol '≥'. For example, 'at least 5' is written as x ≥ 5.

Front

How do you represent 'no more than' in an inequality?

Back

'No more than' is represented by the symbol '≤'. For example, 'no more than 10' is written as x ≤ 10.

Front

If x < 10, what can we say about x?

Back

If x < 10, then x can be any number less than 10, such as 9, 8, or 0.

Front

If x ≥ 18, what can we say about x?

Back

If x ≥ 18, then x can be any number that is 18 or greater, such as 18, 19, or 20.

Front

What is the solution set for the inequality x < 16?

Back

The solution set for x < 16 includes all numbers less than 16, such as 15, 14, 0, and negative numbers.