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 '>' represent in an inequality?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

How do you solve an inequality involving multiplication?

Back

To solve an inequality involving multiplication, divide both sides by the same positive number. If you divide by a negative number, you must reverse the inequality sign.

Front

How do you solve an inequality involving addition?

Back

To solve an inequality involving addition, subtract the same number from both sides of the inequality.

Front

What is the first step in solving the inequality 45p > 315?

Back

The first step is to divide both sides of the inequality by 45 to isolate p.

Front

What is the solution to the inequality 30 + n ≥ 50?

Back

The solution is n ≥ 20, found by subtracting 30 from both sides.

Front

How do you graph the solution of an inequality?

Back

To graph the solution of an inequality, use a number line. For 'greater than' or 'less than', use an open circle; for 'greater than or equal to' or 'less than or equal to', use a closed circle.