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ANKUR GUPTA Grade: 12
        

The solution set of the equation


mod(2x-1)+mod(4-2x)≤3  is,

7 years ago

Answers : (1)

bibhash jha
15 Points
										

For x<=0,




1-2^x +4-2^x<=3


2<=2^(x+1)


x+1>=1


x>=0   .. so x=0 belongs to solution.




0<x<=2


2^x-1+4-2^x>=3


3>=3 -------- always true so [0,2]  is a solution now




x>2




2^x-1+2^x-4<=3


2^(x+1)<=8=2^3


x+1<=3


x<=2 ---------no solution in this case




so the final solution is x [0,2]


 

7 years ago
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