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If[x] denotes the greatest integer less ...

If`[x] `denotes the greatest integer less than or equal to x, then the solution of `([x]-6)/(8-[x]) gt 0` is

A

(6,7]

B

[7,8)

C

[6,7)

D

[6,7]

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The correct Answer is:
B
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HIMALAYA PUBLICATION-LINEAR INEQUALITIES-QUESTION BANK
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  2. Number of pairs of consecutive even integers, both of which smaller th...

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

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

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  5. The solution of 6+x-x^(2) gt 0 is :

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  6. The number of integral solutions of (x+1)/(x^(2)+2) gt (1)/(4) is

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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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  18. 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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