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 'less than or equal to', indicating that the value on the left can be less than or equal to the value on the right.

Front

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

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left can be greater than or equal to the value on the right.

Front

How do you solve the inequality 3 + w ≤ 13?

Back

To solve 3 + w ≤ 13, subtract 3 from both sides to get w ≤ 10.

Front

What is the solution to the inequality y − 10 > 14?

Back

To solve y − 10 > 14, add 10 to both sides to get y > 24.

Front

How do you solve the inequality y + 7 ≥ 12?

Back

To solve y + 7 ≥ 12, subtract 7 from both sides to get y ≥ 5.

Front

What is the solution to the inequality 2m > 8?

Back

To solve 2m > 8, divide both sides by 2 to get m > 4.

Front

How do you solve the inequality -5m < 10?

Back

To solve -5m < 10, divide both sides by -5, remembering to reverse the inequality sign, resulting in m > -2.

Front

What is the importance of reversing the inequality sign when dividing by a negative number?

Back

Reversing the inequality sign is necessary because dividing or multiplying both sides of an inequality by a negative number changes the direction of the inequality.

Front

What is a compound inequality?

Back

A compound inequality consists of two or more inequalities that are combined into one statement, often using 'and' or 'or'.