Home
Class 12
MATHS
Solve (1)/(|x|-3) lt 1/2...

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

Text Solution

Verified by Experts

The correct Answer is:
` x in (-oo ,5 ) cup (-3 , 3) cup (5,oo)`
`(1)/(|x|-3)-1/2 lt 0`
`or (2-|x|+3)/(|x|-3) lt 0 `
`or (|x|-5)/(|x|-3) gt 0 `
`rArr |x| gt 5 or |x| lt 3`
` rArr x lt 5 or x lt -5 or -3 lt x lt -3`
`rArr x in (-oo , -5)cup(-3,3) cup (5,oo)`
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE PUBLICATION|Exercise EXERCISES|30 Videos

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE PUBLICATION|Exercise Archives|1 Videos

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE PUBLICATION|Exercise Concept Application Exercise 1.4|11 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 (2)/(x) lt 3 .

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

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

Solve log_(2)|x-1| lt 1 .

Solves cos^(-1) x lt 2

Solve ||x-2|-3|lt 5

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

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

Draw the graph of the function: Solve |(x^2)/(x-1)|lt=1 using the graphical method.

Solve (log)_3(x-2)lt=2.