AA Unit 5: 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 0 < x + 7 < 9?

Back

-7 < x < 2.

Front

What is the graphical representation of x > 2?

Back

A ray starting from 2 and extending to the right.

Front

What is the graphical representation of x ≤ -3?

Back

A solid dot at -3 and a line extending to the left.