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The set of values of x for which the ine...

The set of values of x for which the inequality
`|x-1|+|x+1| lt 4`
always holds true is :

A

(-2,2)

B

`(-oo, 2)uu(2,oo)`

C

`(-oo,-1]uu[1,oo)`

D

none of these

Text Solution

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The correct Answer is:
A
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HIMALAYA PUBLICATION-LINEAR INEQUALITIES-QUESTION BANK
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  7. If S is the set of all real x such that (2 x)/(2 x^(2)+5 x+2)>(1)/(x+...

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  8. If[x] denotes the greatest integer less than or equal to x, then the s...

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  9. If x<5 then

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  10. Given that x, y and b are real numbers and x lt y, b lt 0 then,

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  11. If - 3x + 17 lt - 13 , then :

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  12. If | x - 1| gt 5, then :

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  13. If | x + 2 | le 9 , then :

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  14. Solution of linear inequality in variable x, represented by the line i...

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  15. x and b are real numbers. If b gt 0 and |x| gt b, then

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  16. Solution of linear inequality in variable x, represented by the line i...

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  17. Solution of linear inequality in variable x, represented by the line i...

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  19. The set of all real numbers x for which x^(2)-|x+2|+x>0 is

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  20. The set of values of x for which the inequality |x-1|+|x+1| lt 4 a...

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