Graphing 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 'less than'.

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 or equal to'.

Front

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

Back

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

Front

How do you represent the inequality p < 2 on a number line?

Back

Draw an open dot at 2 and shade to the left.

Front

How do you represent the inequality b ≤ -2 on a number line?

Back

Draw a closed dot at -2 and shade to the left.

Front

What type of dot is used for 'less than' or 'greater than' inequalities?

Back

An open dot is used for 'less than' (<) or 'greater than' (>').

Front

What type of dot is used for 'less than or equal to' or 'greater than or equal to' inequalities?

Back

A closed dot is used for 'less than or equal to' (≤) or 'greater than or equal to' (≥).

Front

If a graph shows a closed dot at 5 and shading to the right, what inequality does it represent?

Back

The inequality is x ≥ 5.