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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)
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.
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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