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 in an inequality?

Back

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

Front

What does the symbol '<' mean in an inequality?

Back

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

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

How can the inequality x < 5 be represented on a number line?

Back

On a number line, x < 5 is represented by an open circle at 5 and a line extending to the left.

Front

How can the inequality x > 5 be represented on a number line?

Back

On a number line, x > 5 is represented by an open circle at 5 and a line extending to the right.

Front

How can the inequality x ≤ 5 be represented on a number line?

Back

On a number line, x ≤ 5 is represented by a closed circle at 5 and a line extending to the left.

Front

How can the inequality x ≥ 5 be represented on a number line?

Back

On a number line, x ≥ 5 is represented by a closed circle at 5 and a line extending to the right.

Front

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

Back

If x > 5, then x can be any number greater than 5, such as 6, 7, or 10.