Q.

If x is a real number and the set of values of ‘ x ’ satisfying the in equality x2+4x+3x36x2+11x6>0  is given by (a,b)(c,d)(e,) then the value of  2|a|+3b+2000c5d+10e is 

(where a< b<c<d<e )

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a

2025

b

2024

c

2003

d

2023 

answer is C.

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Detailed Solution

 x2+4x+3x36x2+11x6=(x+1)(x+3)(x1)(x2)(x3)>0
   By wavy-curve method
    x(3,1)(1,2)(3,)
 

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