Question

lative If S is the set of all real 'X' such that x4(5 - x)(1-2x) (5x + 1)(x+2) 3x+1 is positive, then S contains and 6x3 + x2 - x (B) (5, 11) (D) (-10,- 4) (A) (1,4)

JEE/Engineering Exams

Maths

Solution

4.0 (1 ratings)

( theta-frac{x^{2}(5-x)(1-2 x)}{(x+1)(x+2)}<0 quad 8 quad frac{3 x+1}{6 x^{3}+x^{2}-x}>0 ) ( Rightarrow frac{x^{2}(x-5)(2 x-1)}{(5 x+1)(x+2)}<0 quad frac{3 x+1}{xleft(6 x^{2}+x-1right)}>0 ) ( pm_{1}-frac{1}{-2}+frac{1}{1 / 5} i+frac{-1+}{1 / 2}+frac{3 x+1}{x(3 x-1)(2 x+1)}> ) ( (-2,-1 / 5) cupleft(frac{1}{2}, 5right) rightarrow[3] quad * eq 0, quad x eq frac{1}{3} & x eq frac{1}{2} ) ( operatorname{sech} 0 n cos (3) x(4)=frac{1}{-1 / 2}-frac{1}{4 / 3}+frac{1}{1 / 3} ) ( left(-infty,-frac{1}{2}right) cupleft(-frac{1}{3}, 0right) cupleft(frac{1}{3}, inftyright) ) pul ( -2,-frac{1}{2} int vleft(-frac{1}{3}, 2,right) cupleft(frac{7}{3}, 5right) ) 9(4 tian ( theta r )