Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '>' represent in an inequality?

Back

The symbol '>' means 'greater than' and indicates that the value on the left is larger than the value on the right.

Front

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

Back

The symbol '<' means 'less than' and indicates that the value on the left is smaller than the value on the right.

Front

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

Back

The symbol '≥' means 'greater than or equal to' and indicates that the value on the left is either larger than or equal to the value on the right.

Front

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

Back

The symbol '≤' means 'less than or equal to' and indicates that the value on the left is either smaller than or equal to the value on the right.

Front

How do you represent the inequality 'x is greater than -2' in symbols?

Back

x > -2

Front

When graphing an inequality, what does a closed dot indicate?

Back

A closed dot indicates that the endpoint is included in the solution set, used for ≤ or ≥ inequalities.

Front

When graphing an inequality, what does an open dot indicate?

Back

An open dot indicates that the endpoint is not included in the solution set, used for < or > inequalities.

Front

How would you graph the inequality 'c < 9'?

Back

You would place an open dot at 9 and shade to the left to indicate all values less than 9.

Front

If the cost of a sweater exceeds $13, how is this represented in inequality form?

Back

x > 13