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CBSE Class 11-science Answered

|2x-1|/|x-1|>2  
Asked by msmamtasingh48 | 20 May, 2019, 08:49: PM
answered-by-expert Expert Answer
begin mathsize 18px style open vertical bar fraction numerator 2 x space minus space 1 over denominator x space minus space 1 end fraction close vertical bar greater than 2

rightwards double arrow fraction numerator 2 x space minus space 1 over denominator x space minus space 1 end fraction space greater than space 2 space or space fraction numerator 2 straight x space minus space 1 over denominator straight x space minus space 1 end fraction less than space minus 2
fraction numerator 2 straight x space minus space 1 over denominator straight x space minus space 1 end fraction space minus space 2 space greater than space 0
rightwards double arrow fraction numerator space 2 straight x space minus space 1 space minus space 2 straight x space plus space 2 over denominator straight x space minus space 1 end fraction greater than space 0
rightwards double arrow space fraction numerator 1 over denominator straight x space minus space 1 space end fraction greater than space 0
rightwards double arrow space straight x space minus space 1 space greater than 0
rightwards double arrow straight x space greater than space 1 space space... space left parenthesis straight i right parenthesis
fraction numerator 2 straight x space minus space 1 over denominator straight x space minus space 1 end fraction less than space minus 2
rightwards double arrow space fraction numerator 2 straight x space minus space 1 over denominator straight x space minus space 1 end fraction space plus space 2 space less than 0
rightwards double arrow fraction numerator 2 straight x space minus space 1 space plus space 2 straight x space minus space 2 over denominator straight x space minus space 1 end fraction space less than space 0
rightwards double arrow fraction numerator 4 straight x space minus space 3 over denominator straight x space minus space 1 end fraction less than 0
rightwards double arrow fraction numerator 4 open parentheses straight x space minus space begin display style 3 over 4 end style close parentheses over denominator straight x space minus space 1 end fraction less than 0
1 st space condition colon space straight x space less than space 3 over 4 space and space straight x space greater than space 1
In space this space we space will space not space get space any space intersection space point.
2 nd space condition colon space straight x space greater than space 3 over 4 space and space straight x space less than space 1
straight x space element of space open parentheses 3 over 4 comma space 1 close parentheses space space space.... space left parenthesis ii right parenthesis
From space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis comma space we space get
straight x element of space open parentheses 3 over 4 comma space infinity close parentheses space minus space open curly brackets 1 close curly brackets end style
Answered by Yasmeen Khan | 21 May, 2019, 10:35: AM
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