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 in an inequality?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is larger than the value on the right.

Front

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

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either larger than or equal to the value on the right.

Front

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

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either smaller than or equal to the value on the right.

Front

How do you graph the inequality x > 3?

Back

To graph x > 3, draw a number line, place an open circle at 3, and shade to the right.

Front

How do you graph the inequality x < 2?

Back

To graph x < 2, draw a number line, place an open circle at 2, and shade to the left.

Front

What type of circle is used to graph x ≥ 5?

Back

A closed circle is used to graph x ≥ 5, indicating that 5 is included in the solution.

Front

What type of circle is used to graph x < 4?

Back

An open circle is used to graph x < 4, indicating that 4 is not included in the solution.

Front

If you have the inequality x ≤ 10, what does this mean?

Back

This means that x can be any number that is less than or equal to 10.