Home
Class 12
MATHS
Solve (5x+1)/((x+1)^2)lt 1...

Solve` (5x+1)/((x+1)^2)lt 1`

Text Solution

Verified by Experts

The correct Answer is:
`x lt 0 or x gt 3, x ne - 1`

`(5x+1)/(x+1)^2- lt 0 `
` or (5x+1-(x+1)^2)/(x+1)^2`
or `(-x^2+3x)/(x+1)^2 lt 0`
`or (x(x-3))/(x+1)^2 gt 0`
`rArr x lt 0 or x gt 3, x ne -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|36 Videos
  • SETS AND RELATIONS

    CENGAGE|Exercise Question Bank|15 Videos

Similar Questions

Explore conceptually related problems

Solve sqrt(x-1)/(x-2) lt 0

Solve : (x +2)/(x+1)lt 0

Solve (1//2)^(x^(2)-2x) lt 1//2 .

Solve : (x^2 +x -4)/(x) lt 1 and x^(2) lt 64

solve : (|x-1|)/(x+1)lt1

Solve (1)/(|x|-3) lt 1/2

Solve : (1)/(x-3)lt 0

Solve, (sqrt(2x-1))/(x-2) lt 1 .

Solve (x^2 -x-1) (x^2-x-7) lt -5

Solution set of (5x-1)lt (x+1)^(2)lt (7x -3) is