Question 564091
|(1/x)-3| > 6
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The problem has 2 parts:
(1/x)-3 > 6  ; (1/x)-3 < -6
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(1/x) > 9    ;  (1/x) < -3
Notice x must equal 1/10, 1/11, 1/12 etc.(getting closer and closer to zero)
Notice x must equal -1/4, -1/5 , -1/6 etc.(getting closer and closer to zero)
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-1/3< x < 0    ;  0< x < 1/9 
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Solution: (-1/3 , 0) U (0 , 1/9)
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Cheers,
Stan H.