How to test solutions to inequalities | 6th grade | Khan Academy

TL;DR

This video demonstrates how to test numbers for inequalities and determine which ones satisfy the given expressions.

Transcript

• [Voiceover] We have two inequalities here, the first one says that x plus two is less than or equal to two x. This one over here in I guess this light-purple-mauve color, is three x plus four is greater than five x. Over here we have four numbers and what I want to do in this video is test whether any of these four numbers satisfy either of these... Read More

Key Insights

• 😑 Testing numbers for inequalities involves substituting the values into the expressions to see if they satisfy the inequality.
• #️⃣ Not all numbers will satisfy an inequality, and some inequalities may have no solutions.
• #️⃣ Different numbers can satisfy different inequalities, demonstrating that one number may satisfy one expression but not the other.

Questions & Answers

Q: How do you test numbers for inequalities?

To test numbers for inequalities, substitute the values of the numbers into the expressions and see if the inequality holds true.

Q: Can all numbers satisfy an inequality?

No, not all numbers will satisfy an inequality. Some inequalities may have no solutions, while others may have an infinite number of solutions.

Q: What happens if a number satisfies one inequality but not the other?

If a number satisfies one inequality but not the other, it means that the number only satisfies one of the two given expressions.

Q: Why is it important to test numbers for inequalities?

Testing numbers for inequalities allows us to determine which values satisfy a given expression, which is crucial for solving algebraic problems.

Summary & Key Takeaways

• The video explains how to test numbers for inequalities using two examples.

• It encourages viewers to try out four numbers to see if they satisfy the given inequalities.

• Zero and one satisfy one inequality, while two and five satisfy the other.