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, or not equal to the other.

Front

What does the symbol '<' mean?

Back

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

Front

What does the symbol '>' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 5 means x is less than or equal to 5.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

How can you represent the inequality 'x < 5' on a number line?

Back

You would draw an open circle at 5 and shade to the left, indicating all numbers less than 5.

Front

How can you represent the inequality 'x ≥ 5' on a number line?

Back

You would draw a closed circle at 5 and shade to the right, indicating all numbers greater than or equal to 5.

Front

If x > 5, what can you say about the value of x?

Back

The value of x is any number greater than 5, such as 6, 7, or 10.

Front

If x ≤ 5, what can you say about the value of x?

Back

The value of x can be any number less than or equal to 5, such as 4, 3, or 5.

Front

What inequality represents the situation: 'You must donate at least $5'?

Back

The inequality is x ≥ 5.