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Home / Doubts and Solutions/JEE/Mathematics

|2x-1/x-1|>2

Asked by hariom2083 17th July 2018, 11:07 PM
Answered by Expert
Answer:
begin mathsize 18px style open vertical bar fraction numerator 2 straight x minus 1 over denominator straight x minus 1 end fraction close vertical bar greater than 2 fraction numerator 2 straight x minus 1 over denominator straight x minus 1 end fraction greater than 2 space space or space space fraction numerator 2 straight x minus 1 over denominator straight x minus 1 end fraction less than negative 2 fraction numerator 2 straight x minus 1 minus 2 open parentheses straight x minus 1 close parentheses over denominator straight x minus 1 end fraction greater than 0 space space or space fraction numerator 2 straight x minus 1 plus 2 open parentheses straight x minus 1 close parentheses over denominator straight x minus 1 end fraction less than 0 fraction numerator 1 over denominator straight x minus 1 end fraction greater than 0 space space or space fraction numerator 4 straight x minus 3 over denominator straight x minus 1 end fraction less than 0 use space wavy space curve space method points space are space 1 space for space first space inequality space left parenthesis open space at space 1 space right parenthesis and space 1 space and space 3 over 4 space for space second space inequality space left parenthesis open space at space 1 space right parenthesis end style
Answered by Expert 19th July 2018, 10:13 AM
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