Solving & Graphing 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

What does 'and' mean in a compound inequality?

Back

In a compound inequality, 'and' means that both conditions must be true at the same time.

Front

What does 'or' mean in a compound inequality?

Back

In a compound inequality, 'or' means that at least one of the conditions must be true.

Front

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

Back

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

Front

What is the solution to the inequality 3x - 4 < -13?

Back

x < -3.

Front

What is the solution to the inequality 7x + 1 > 22?

Back

x > 3.

Front

What is the solution to the compound inequality -6 < 3x + 9 < 21?

Back

x must be between -2 and 4.

Front

How do you graph a compound inequality?

Back

Graph each inequality on the same number line, using open or closed circles based on whether the endpoints are included.

Front

What is the solution to the inequality -1 < 9 + n < 17?

Back

-10 < n < 8.