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 solutions 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 solutions of the individual inequalities.

Front

What is the solution to the inequality x ≤ -2 OR x > 5?

Back

The solution includes all values of x that are less than or equal to -2 or greater than 5.

Front

What is the solution to the inequality -7 < x and x < 2?

Back

The solution includes all values of x that are greater than -7 and less than 2.

Front

What does the graph of x ≥ 2 and x ≤ 4 look like?

Back

The graph includes all points on the number line from 2 to 4, including the endpoints.

Front

What is the inequality represented by the graph that includes all numbers between -2 and 5?

Back

The inequality is -2 ≤ x ≤ 5.

Front

How do you write a compound inequality for the graph that shows x > 2 and x < 4?

Back

The compound inequality is x > 2 and x < 4.