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The solution set of inequality log log (x/2)(base here is 2) (x 2 -10x+22)>0 is a. (3,5+3^1/2) U (7,infinity) b.(3,5-3^1/2) U (7,infinity) c.(3,3^1/2+2) U (6,infinity) d.(3,5+3^1/2) U (8,infinity)

The solution set of inequality log log  (x/2)(base here is 2)(x2-10x+22)>0


is


a. (3,5+3^1/2) U (7,infinity)


b.(3,5-3^1/2) U (7,infinity)


c.(3,3^1/2+2) U (6,infinity)


d.(3,5+3^1/2) U (8,infinity)

Grade:12

1 Answers

AskIITianExpert Srijan.iitd
8 Points
12 years ago

Answer should be b.

 

the following things need to be taken care of and they will give you inequalities-

1.log(x/2)should be positive and not equal to 1.

2.x2-10x+22 should be positive

3.the whole inequality should hold good which includes the cases log(x/2) greater than 1 and log(x/2) less than1.

 

solving the equations and inequations we can see that the answer is b.

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