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If -4lex lt 2 then ||x+2|-3| lies in th...

If `-4lex lt 2 ` then ||x+2|-3| lies in the inerval

A

(1,3]

B

[1,3]

C

[0,3)

D

`[0,oo)`

Text Solution

Verified by Experts

The correct Answer is:
C
We have `-4 le x lt 2`
`rArr -2 le x +2 lt 4 `
`rArr 0 le x+2 lt 4 `
`rArr -3 le |x+2|lt 4 `
`rArr 0 le ||x+2|-3| le 3 `
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  12. Sum of solution of the equation |x|^3-4|x|^2+3|x|=0 is

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  13. Number of integral roots of |x-1||x^2-2|=2 is

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  14. The solution set of the inequlity (|x-2|-x)/(x)lt2 is

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  15. Number of solutions of the equation |2-|x||=x +4 is a.0 b.1 c.2 d.Inf...

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  16. Number of intergal values of x satisfying the inequality (x^2+6x-7)/(|...

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  17. If -4lex lt 2 then ||x+2|-3| lies in the inerval

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  18. Complete set of values of x satisfying inequality ||x-1|-5| lt 2x -5 ...

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  19. If |x^2-2x+2|-|2x^2-5x+2|=|x^2-3x| then the set of values of x is

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  20. The complete solution set of the equation |x^2-5x+6|+|x^2+12x+27|=|17x...

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