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

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', solve each inequality separately and find the intersection of the solutions.

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

Back

The solution is -8 < r < 3.

Front

What is the solution to the compound inequality 3x - 4 < -13 or 7x + 1 > 22?

Back

The solution is x < -3 or x > 3.

Front

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

Back

Graph each inequality separately and shade the regions that satisfy either inequality.

Front

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

Back

Graph each inequality separately and shade the region that satisfies both inequalities.

Front

What is the solution to the inequality -4x + 14 ≤ 54?

Back

The solution is x ≥ -10.