Solving Compound Inequalities

Front

What is a compound inequality?

Back

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

Front

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

Back

To solve a compound inequality with 'and', you find the intersection of the solution sets of the individual inequalities.

Front

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

Back

To solve a compound inequality with 'or', you find the union of the solution sets of the individual inequalities.

Front

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

Back

The symbol '>' means 'greater than'.

Front

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

Back

The symbol '<' means 'less than'.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

To graph a compound inequality with 'or', you graph each inequality separately and shade the regions that satisfy either inequality.

Front

How do you graph a compound inequality with 'and'?

Back

To graph a compound inequality with 'and', you graph each inequality and shade the region where both inequalities overlap.

Front

What is the solution to the compound inequality 24 > -3r > -9?

Back

The solution is -8 < r < 3.