Questions  

If set A=xx2(5x)(12x)(5x+1)(x+2)<0 and set B=x3x+16x3+x2x>0, then AB does not contain 

 

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By Expert Faculty of Sri Chaitanya
ctaimg
a
(1, 4)
b
(5, 11)
c
−32,−12
d
none of these
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detailed solution

Correct option is B

We have x2(x−5)(2x−1)(5x+1)(x+2)<0From the sign scheme, solution is−2,−15∪12,5               (i)Now 3x+1x6x2+x−1>0⇒ 3x+1x(3x−1)(2x+1)>0From the sign scheme solution is−∞,−12∪−13,0∪13,∞               (ii)Clearly, from (i) and (ii), option(s) (1) and (3) are correct.

ctaimg

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