Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than.' For example, x < 5 means x is any number less than 5.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than.' For example, x > 10 means x is any number greater than 10.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to.' For example, x ≤ 3 means x can be 3 or any number less than 3.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to.' For example, x ≥ 7 means x can be 7 or any number greater than 7.

Front

How do you graph the inequality x < 17?

Back

To graph x < 17, draw a number line, place an open circle at 17, and shade to the left.

Front

How do you solve the inequality x + 7 < 9?

Back

Subtract 7 from both sides: x < 2.

Front

How do you write the inequality for 'The Chicago Cubs have won more than 100 games'?

Back

The inequality is x > 100.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

What type of circle is used when graphing x > 45?

Back

An open circle is used because 45 is not included in the solution.