Compound Inequalities and Interval Notation

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more inequalities using the words 'and' or 'or'.

Front

How do you solve a compound inequality with 'or'?

Back

To solve a compound inequality with 'or', solve each inequality separately and combine the solutions.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line using intervals.

Front

How do you represent an open interval in interval notation?

Back

An open interval is represented with parentheses, e.g., (a, b) means all numbers between a and b, not including a and b.

Front

How do you represent a closed interval in interval notation?

Back

A closed interval is represented with brackets, e.g., [a, b] means all numbers between a and b, including a and b.

Front

What is the interval notation for the solution x < 5?

Back

The interval notation for x < 5 is (-∞, 5).