Home
Class 12
MATHS
Sove ((x+2)(x^2-2x+1))/(-4 +3x-x^2) ge 0...

Sove `((x+2)(x^2-2x+1))/(-4 +3x-x^2) ge 0 `

Text Solution

Verified by Experts

The correct Answer is:
`x in (-oo ,-2] cup {1}`
`((x+2)(x^2-2x+1))/(-x^2+3x-4) ge 0 `
or `((x+2)(x-1)^2)/(x^2-3x+4) ,e 0 `
Now `x^2- 3x+4 gt 0 AA x in R`
`therefore (x+2)(x-1)^2 le 0 `
`rArr x in (-oo , -2 ] cup {1}`
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.4|11 Videos

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.5|12 Videos

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.2|8 Videos

  • SEQUENCE AND SERIES

    CENGAGE|Exercise Question Bank|1 Videos

  • SETS AND RELATIONS

    CENGAGE|Exercise Question Bank|3 Videos

Similar Questions

Explore conceptually related problems

Solve (2)/(x^2-x+1)-(1)/(x+1)-(2x-1)/(x^3+1) ge 0.

Sove : (x-2)(x+3)^(2)lt0.

Solve x(x+2)^2(x-1)^5(2x-3)(x-3)^4geq0.

Solve -x^(2)+3x-2ge0

Solve, (1-sqrt(21-4x-x^(2)))/(x+1) ge 0 .

Solve: (2x + 1)^(2) - (3x + 2)^(2) = 0

Solve: -x^(2)+3x-2ge0

The complete set of values of x for which (x^(3)(x-1)^(2)(x+4))/((x+1)(x-3)) ge 0 is

if f(x) = {(x^(3),x <0),(3a + x^(2), x ge 0):} is continuous at x = 0 , then a is