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 represent the compound inequality -2 ≤ x ≤ 5 on a number line?

Back

Shade the region between -2 and 5, including the points -2 and 5.

Front

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

Back

The solution set includes all numbers less than or equal to -2 and all numbers greater than 5.

Front

How do you write the inequality for the graph that shows all numbers between -2 and 2, including -2?

Back

The inequality is -2 ≤ x < 2.

Front

What is the inequality for a graph that shows all numbers less than 5?

Back

The inequality is x < 5.

Front

How do you model the scenario: You can spend at most $25 on games and food, where each game costs $2 and food costs $10?

Back

The inequality is 2x + 10 ≤ 25.

Front

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

Back

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

Front

How do you solve the compound inequality -2 < x ≤ 2?

Back

The solution set includes all numbers greater than -2 and less than or equal to 2.