Inequalities

Handbook Inequalities by Ck
Handbook Function and Graphs by Ck

Inequalities is one of the most EASIEST and SMALLEST topic of the CAT preparation. Usually coming in the exam for 2 questions.

Scope of Inequalities include these questions:

Inequalities

1. Find the value of y, if 4y > 24
2. Y > 6 b. Y > 7 c. Y > 4   d. Y > 2

2. If x² < x , which of the following must be true?
3. x < -1 b. -1 < x < 0    c. 0 < x < 1            d. x > 1

3. Find the range of x for which (x + 2) (x + 5) > 40.
4. x<3 or x>1 b. x<-10 or x> 0
5. x>2 and x<5 d. x<-10 or x>3

4. Solve for x: .
5. b. c.  d.

5. Find most appropriate solution for satisfying equation
6.  
7.  
8.  
9.  

6. Solve the inequality x³-5x²+8x-4>0.
7. (2, ∞) b. (1, 2) ∪ (2, ∞)
8. (-∞, 1) ∪ (2, ∞) d. (-∞, 1)

35. Find the range of: (z² + z + 1)^z+2 < 1
a, (-∞, -2) and (-1, 0)          b, (∞, -2) and (-1, 5)
c. (-∞, 2) and (-1, 0)           d, (-∞, 10) and (-11, 10)