Intro To 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?

Back

The symbol < means 'less than'. For example, 3 < 5 means 3 is less than 5.

Front

What does the symbol > mean?

Back

The symbol > means 'greater than'. For example, 7 > 4 means 7 is greater than 4.

Front

What does the symbol ≤ mean?

Back

The symbol ≤ means 'less than or equal to'. For example, x ≤ 10 means x can be 10 or any number less than 10.

Front

What does the symbol ≥ mean?

Back

The symbol ≥ means 'greater than or equal to'. For example, y ≥ 5 means y can be 5 or any number greater than 5.

Front

When graphing the inequality b < 6, what type of circle is used?

Back

An open circle is used when graphing b < 6.

Front

How do you represent the inequality a ≥ 11 on a number line?

Back

You use a closed circle at 11 and shade to the right.

Front

What does the graph of x > 3 look like?

Back

It has an open circle at 3 and shades to the right.

Front

What is the difference between open and closed circles in graphing inequalities?

Back

An open circle indicates that the number is not included (e.g., < or >), while a closed circle indicates that the number is included (e.g., ≤ or ≥).

Front

If a number line shows a closed circle at 3 and shading to the left, what inequality does it represent?

Back

It represents x ≤ 3.