Graphing 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 '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, a > 5 means 'a is greater than 5'.

Front

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

Back

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

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, c ≥ 10 means 'c is greater than or equal to 10'.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, d ≤ 4 means 'd is less than or equal to 4'.

Front

How do you represent 'x is less than 20' on a number line?

Back

You would draw an open dot at 20 and shade to the left, indicating all numbers less than 20.

Front

How do you represent 'y is greater than or equal to 5' on a number line?

Back

You would draw a closed dot at 5 and shade to the right, indicating all numbers greater than or equal to 5.

Front

What type of dot is used for 'x < 10'?

Back

An open dot is used for 'x < 10' to indicate that 10 is not included.

Front

What type of dot is used for 'y ≥ 3'?

Back

A closed dot is used for 'y ≥ 3' to indicate that 3 is included.

Front

If a graph shows a line with an open dot at 11, what inequality does it represent?

Back

It represents the inequality a < 11 or a > 11.