write the solution set of inequation: `|1/(x-2)|` `<4,x!=4.`

Explanation

Then (x−2<0 and x−4>0) or (x−2>0 and x−4<0)⇒(x<2 and x<4) or (x<6 and x>4)⇒2
Case II When

x−4/6−x

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>0Then(6−x<0 and x−4<0) or (6−x>0 and x−4>0)⇒(x>6 and x<4) or (x<6 and x>4)⇒4
∴ solution set =(2,4)∪(4.6)