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 'or'?

Back

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

Front

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

Back

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

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 'less than or equal to'.

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 'greater than or equal to'.

Front

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

Back

Graph each inequality separately on the number line, using open or closed circles as appropriate, and shade the regions that represent the solutions.

Front

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

Back

Graph each inequality on the number line and shade the region where the two solutions overlap.

Front

What is the solution set for the inequality x + 8 < 3?

Back

The solution set is x < -5.