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 PUBLICATION|Exercise Concept Application Exercise 1.3|13 Videos

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE PUBLICATION|Exercise Concept Application Exercise 1.4|11 Videos

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE PUBLICATION|Exercise Concept Application Exercise 1.1|12 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

  • SOLUTIONS AND PROPERTIES OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Comprehension Type|6 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 sqrt(x-2)(x^2-4x-5)=0.

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

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

Solve x >sqrt((1-x))

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

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

Solve sqrt(5)x^(2) + x + sqrt(5)=0