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Vaibhav Mathur Grade: 12
        

Solve the inquality: 


(3-x) / (15-x)^1/2 <1


The solution has to be of form (a,b)

8 years ago

Answers : (2)

AskiitiansExpert Milanshu
9 Points
										

(3-x) / (15-x)^1/2 <1


(3-x)  <(15-x)^1/2


 


(3-x)2  <|15-x|


case 1: x<15


(3-x)2  <15-x


therefore we get by solving this equation


x = (6,-1)


case 1: x>15


(3-x)2  <x-15


therefore we get,


x=(7+145^1/2)/2 , (7-145^1/2)/2


but both are less than 15,


thus no solution from this case


thus final answer is (6,-1)

8 years ago
mycroft holmes
271 Points
										

I would like to point out that necessarily 15-x>0. So the case x>15 is redundant

8 years ago
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