CAT Online Live Classes

Concepts discussed on March 17, 2018

Algebra - Inequalities

Welcome to the live session of Inequalities. The concepts and questions discussed on March 17, 2018 during the live session follow the embedded video. The video link next to each concept will take you to the start of the part of the video where that specific concept is discussed. Click the video embedded below to watch the entire session.

Easy Questions

1. Find the range of x that satisfies the equation $|2x + 5| < |3x – 6|$.

   • Video explanation

Medium Questions

2. What is the range of values of x that satisfy x (x-2) (x+4) > 0

   • Video explanation

3. Find the range of x that satisfies the equation $\frac{(|x| − 1)}{(|x| − 3)} < 0.$

   • Video explanation

4. Find the range of x that satisfies the equation $x^2 – 5|x| + 6 > 0$.

   • Video explanation

5. Find the range of x that satisfies the equation $||2x – 4|+ 3| < 7$.

   • Video explanation

6. x + 2y + 3z = 50. x, y, z are natural numbers. What is the maximum value of $x^2 + y^2 + z^2 ?$.

   • Video explanation

7. x + 3y = 32. x, y are natural numbers. What is the maximum value of xy?

   • Video explanation

Tough Questions

8. If x belongs to the range (-5, 5), what is the probability that | [x] + 1| > [|x| + 1], where [x] represents the greatest integer less than or equal to x?

   • Video explanation