Complex Rational Inequalities – Don’t Make this Mistake

Try simplifying this rational inequality: ((x+2)(x+3))/((x-2))≥0

If you considered just multiplying both sides by (x-2), you're wrong! But you’re not alone and we’re here to help!

In our latest video, our lead Quant expert, Shweta, will demystify the world of rational inequalities for test takers like you! She'll guide you through the common misconception that simplifying rational inequalities is the same as simplifying rational equations.

Here's what you'll learn in this video:
• The reason why the approach used for rational equations falls short when it comes to rational inequalities.
• The correct way to simplify rational inequalities.
• Valuable takeaways and practice questions to sharpen your skills!

By the end of this video, you'll understand the difference between simplifying rational equations and inequalities and be well-equipped to simplify any rational inequality.

But wait, there's more! After mastering the art of simplifying rational inequalities in this video, stay tuned for our follow-up video, where we'll dive into solving a challenging GMAT question on rational inequalities.

So, buckle up and join Shweta on this journey. Let's ace those tests together!

Happy Learning!

Chapters:
00:00 Diagnose your ability
00:40 Agenda of the video
01:18 Simplify Rational Equation – How and Why
03:34 Simplify Rational Inequality – How and Why
06:59 Summary and Takeaways
07:40 Practice Questions

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[rahulchhabra]

Hey Shweta thanks for posting! Following is what I think might be the response:

1. (x-4) (x+6) = 0 ---> x= 4 or -6
2. (x-5) (x-2) (x+1) < 0 -1, 2 or 5

Please let me know if it's incorrect! Always a pleasure learning from you :)

[ryankoech]

1) (X -4) (X+6) =0

2) (X -5) (X -2) (X +1) < 0

[hungryboy]

Square can't be always positive. it can be NON-NEGATIVE. What if you x=2, so this inequality can't be valid. Therefore, we can't multiply by (x-2)^2 until we don't know the sign of the x.