Inequalities

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 < 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 left, indicating all numbers less 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 right, indicating all numbers greater 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 is the smallest value x can take?

Back

The smallest value x can take is 5.