Home
Class 12
MATHS
Solve |(x+1)/x|+|x+1|=((x+1)^2)/(|x|)dot...

Solve `|(x+1)/x|+|x+1|=((x+1)^2)/(|x|)dot`

Text Solution

Verified by Experts

`|(x+1)/(x)|+|x+1|=((x+1)^2)/(|x|)`
or `|(x+1)/(x)|+|x+1|=|(x+1)/x+(x+1)|`
`or ((x+1))/(x)xx(x+1) ge 0 `
`or (x+1)^2/(x)ge 0 `
`rArr x in (0,oo) cup {-1}`
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.1|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 |x|= 2x-1

Solve |(x+2)/(x-1)|=2

Solve |(x-3)/(x+1)|lt=1.

Solve: (x+1)/(x-1) gt 0

Solve (2x-3)/(x-1)+1=(6x-x^2-6)/(x-1)dot

Solve 2x + 1 = x - 2

Solve (x+1)/(x-1)gt0

Solve |x-1|+|x-2|geq4.

Solve |x-1|+|x-2| ge 4