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Suppose a,b and c are real numbers such ...

Suppose a,b and c are real numbers such that `a/b gt 1 and a/c lt 0` . What one of the following is true ?

A

`a+ b -c gt 0`

B

`a gt b`

C

`(a-c) (b-a) gt0`

D

`a+b+c gt 0`

Text Solution

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The correct Answer is:
C
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NEW JOYTHI PUBLICATION-LINEAR INEQUALITIES-QUESTIONS FROM COMPETITIVE EXAMS
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  2. The set of all x satisying the inequility (4x-1)/(3x+1) ge 1 is

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  3. The set of values of x satisfying 2 le | x-3| lt 4 is

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  4. Number of integral solutions of (x+2)/(x^2 + 1) gt 1/2 is

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  8. The set of admissible value of x such that (2x+3)/(2x-9) lt 0 is

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  9. If x satisfies the inequations 2x - 7 lt 11 , 3x + 4 lt -5 , then x l...

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  10. The set of all real x satisfying the inequality (3-|x|)/(4-|x|) ge 0 i...

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  11. The solution set of the inequation (x+11)/(x-3) gt 0 is

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  12. If 3 le 3t - 18 le 18 , then which one of the following is true ?

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  13. If |2x-3| lt |x+5| , then x lies in the interval

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  14. The solution of (x+3)/(x-2) le 2 is

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  15. If (2x+3)/(5) lt (4x-1)/(2) , then x lies in the interval

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  17. If x satisfies the inequalities x+7 le 2x + 3 and 2x+4 lt 5x + 3 , th...

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  18. The set of point (x,y) satisfying x+y le 1 , -x-yle 1 lie in the regio...

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  19. The number of solutions of the inequation |x-1| + |x+2| lt 4 is

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  20. The shaded region shown in the figure is given by the inequations

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