Inequality flashcard 3

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 5 means x is less than or equal to 5.

Front

How do you solve the inequality -3x + 5 < -10?

Back

To solve -3x + 5 < -10, subtract 5 from both sides to get -3x < -15, then divide by -3 (remember to flip the inequality sign) to get x > 5.

Front

How do you solve the inequality 2m + 4 < 12?

Back

To solve 2m + 4 < 12, subtract 4 from both sides to get 2m < 8, then divide by 2 to get m < 4.

Front

What is the solution set for the inequality x > 5?

Back

The solution set for x > 5 includes all real numbers greater than 5.

Front

What is the solution set for the inequality m < 4?

Back

The solution set for m < 4 includes all real numbers less than 4.

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more inequalities, often connected by 'and' or 'or'.