Skip to main content
Master

Compound Inequalities

Master compound inequalities with interactive lessons and practice problems! Designed for students aged 10-16 years.

Understanding Compound Inequalities

Choose your learning level

Watch & Learn

Video explanation of this concept

concept. Use space or enter to play video.
Beginner

Start here! Easy to understand

Now showing Beginner level explanation.

Beginner Explanation

A compound inequality (or combined inequality) is two or more inequalities joined together with 'or' or 'and'.

Practice Problems

Test your understanding with practice problems

1

Quick Quiz

Single Choice Quiz
Beginner

Which statement is always true for every value of x that satisfies $-1 \leq x < 2$?

Please select an answer for all 1 questions before checking your answers. 1 question remaining.
2

Real-World Problem

Question Exercise
Intermediate

Teenager Scenario

A teenager is allowed to watch TV if it's past 5 PM but before 10 PM. If T represents the time, write a compound inequality that represents this situation.
Click to reveal the detailed solution for this question exercise.
3

Thinking Challenge

Thinking Exercise
Intermediate

Think About This

Write a compound inequality to represent all numbers x that are greater than or equal to -2 and less than or equal to 3.

Click to reveal the detailed explanation for this thinking exercise.
4

Challenge Quiz

Single Choice Quiz
Advanced

Which of the following is the solution for the compound inequality $-2 < x + 3 \leq 7$?

Please select an answer for all 1 questions before checking your answers. 1 question remaining.

Recap

Watch & Learn

Review key concepts and takeaways