Home
Class 12
MATHS
Solve sqrt(x-1)/(x-2) lt 0...

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

Text Solution

Verified by Experts

The correct Answer is:
` 1 le x lt R `

`(sqrt(x-1))/(x-2) lt 0 ` is meaningful for `x -1 ge 0 or x ge 1`
Also `(sqrtx-1)/(x-2) lt 0 `
`rArr x-2 lt 0 or x lt 2 `
`therefore 1 le x lt 2`
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.3|13 Videos
  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.4|11 Videos
  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.1|12 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(2x-1))/(x-2) lt 1 .

Solve x-sqrt(1-|x|) lt 0 .

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

Solve (x^2-4)sqrt(x^2 -1) lt 0.

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

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

Solve : (|x-1|-3)(|x+2)-5) lt 0 .

Solve (x(3-4x)(x+1))/(2x-5)lt 0

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

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