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'. For example, x > 3 means x is greater than 3.

Front

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

Back

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

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

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

Back

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

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.

Front

How do you solve the inequality -4a ≤ -28?

Back

To solve -4a ≤ -28, divide both sides by -4 and flip the sign: a ≥ 7.

Front

How do you write the phrase 'A number minus 2 is greater than -10' as an inequality?

Back

The phrase can be written as n - 2 > -10.

Front

What is the solution to the inequality n - 2 > -10?

Back

The solution is n > -8.

Front

How do you graph the solution set of an inequality?

Back

To graph the solution set, draw a number line and shade the region that satisfies the inequality.