Home
Class 12
MATHS
Solve (x-2)/(x+2)gt(2x-3)/(4x-1)...

Solve `(x-2)/(x+2)gt(2x-3)/(4x-1)`

Text Solution

Verified by Experts

`(x-2)/(x+2)gt(2x-3)/(4x-1)`
or` ((x-2)(4x-1)-(x+2)(2x-3))/((x+2)(4x-1))gt0`
`or (4x^2-9x+2-2x^2-x+6)/((x+2)(4x-1))`
`or (x^2-5x+4)/((x+2)(4x-1))gt0`
`or ((x-1)(x-4))/((x+2)(4x-1))gt0`

`rArrx in (-oo,-2)cup (1/4,1)1 cup (4,00)`
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|36 Videos

  • SETS AND RELATIONS

    CENGAGE|Exercise Question Bank|15 Videos

Similar Questions

Explore conceptually related problems

Solve (x-2)/(x+2)>(2x-3)/(4x-1)

Solve (x-2)/(x+5)gt2.

Solve : (x-1)/(x-2) gt1

Solve (x+2)/(x^2+1)gt 1/2

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

Solve for :x:(x-1)/(x-2)+(x-3)/(x-4)=3(1)/(3),x!=2,4

Solve for x:(x-1)/(x-2)+(x-3)/(x-4)=3(1)/(3);x!=2,4

Solve for x:(x-1)/(x+2)+(x-3)/(x-4)=(10)/(3),x!=-2,4

Solve (x^4)/(x-2)^4gt 0