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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)
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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