Inequalities and Their Graphs

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'.

Front

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

Back

The symbol '<' means 'less than'.

Front

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

Back

The symbol '≥' means 'greater than or equal to'.

Front

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

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you represent 'fewer than 20' in an inequality?

Back

x < 20.

Front

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

Back

An open dot represents that the number is not included in the solution (used with < or >).

Front

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

Back

A closed dot represents that the number is included in the solution (used with ≤ or ≥).

Front

What is the solution set of the inequality x > 5?

Back

The solution set includes all numbers greater than 5.

Front

How would you graph the inequality a ≤ 11?

Back

You would place a closed dot at 11 and shade to the left.