Home
Class 12
MATHS
Solve |x^2+x-6 |lt 6...

Solve `|x^2+x-6 |lt 6 `

Text Solution

Verified by Experts

The correct Answer is:
`x in (-4,-1) cup (0,3)`
`|x^2+x-6|lt 6`
`rArr -6 lt x^2 +x -6 lt 6`
Now `-6 lt x^2 +x -6 `
or `x(x+1) gt 0 `
`rArr x in (-oo, -1)cup(0,oo)`
`x^2+x-6 lt 6`
or `x^2+x-12 lt 0 `
or ` (x+4)(x-3) lt 0 `
`rArr x in (-4,3)`
From (1) and (2) common values are `x in(-4 ,-1 ) cup (0,3)`
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 x^(2)-x-6 gt 0 .

Solve x^2-x-1 lt 0

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

Solve ||x-1|-5|lt=2

Solve |x-1|-|x+3|lt6 graphically

Solve |x^2-x-2|+|x+6|=|x^2-2x-8|

Solve (2)/(x) lt 3 .

Solves cos^(-1) x lt 2

Solve 0 lt |x| lt 2

Solve 12ix^2-x+6i=0