99 Percentile Qs Bank for JEE MainMathematicsSets and Relations

The number of elements in the set S= x Z : x^2-7 x+6 0 and .x^2-3 x>0 is

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Correct answer

C. 4

Step-by-step solution

Given S= x Z: x^2-7 x+6 0 and x^2-3 x>0 ...(i) Now array l|l x^2-7 x+6 0 & and x^2-3 x>0 (x-6)(x-1) 0 & (x-0)(x-3)>0 x [1,6] & x (- , 0) (3, ) array Hence equation (i) can be reduced to aligned & S= x Z: x [1,6] ((- , 0) (3, )) & S= x Z: x (3,6] & S= 4,5,6 aligned Hence number of elements in set ' S ' are ' 3 '

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