Graphing and Writing Inequalities

Front

What is an inequality?

Back

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

Front

What does an open circle on a graph represent?

Back

An open circle indicates that the number is not included in the solution (e.g., x < 5 means 5 is not included).

Front

What does a closed circle on a graph represent?

Back

A closed circle indicates that the number is included in the solution (e.g., x ≤ 5 means 5 is included).

Front

How do you graph the inequality x < 3?

Back

You place an open circle on 3 and shade to the left.

Front

How do you graph the inequality x ≥ 4?

Back

You place a closed circle on 4 and shade to the right.

Front

What is the meaning of the inequality p ≤ 31?

Back

It means that p can be any number less than or equal to 31.

Front

Which symbol would you use for 'greater than'?

Back

>

Front

Which symbol would you use for 'less than or equal to'?

Back

≤

Front

If a graph shows a closed circle at -2 and shading to the right, what inequality does it represent?

Back

n ≥ -2.

Front

If a graph shows an open circle at 5 and shading to the left, what inequality does it represent?

Back

x < 5.