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 graph a compound inequality with 'and'?

Back

To graph a compound inequality with 'and', find the intersection of the two inequalities on a number line.

Front

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

Back

To graph a compound inequality with 'or', find the union of the two inequalities on a number line.

Front

What is the solution to the inequality: x > 2 or x ≤ -3?

Back

The solution includes all values greater than 2 and all values less than or equal to -3.

Front

How do you solve the compound inequality: -8 < 2(x + 4) or -3x + 4 > x - 4?

Back

First, solve each inequality separately. The solution is x > -8 or x < 2.

Front

What is the difference between '≤' and '<'?

Back

'≤' means 'less than or equal to', while '<' means 'less than' only.

Front

What is the solution set for the inequality: -2 ≤ x < 5?

Back

The solution set includes all values of x from -2 to 5, including -2 but not including 5.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality.