# Answer to Question #1525 in Abstract Algebra for John

Question #1525

Solve: 1/x + 1/(x-1) < 0

Expert's answer

1/x + 1/(x-1) < 0

(x - 1 + x)/x(x-1)<0

2x - 1 < 0 , x does not equal to 0 and 1.

x<1/2.

Thus the answer is (-inf, 0) and (0, 1/2)

(x - 1 + x)/x(x-1)<0

2x - 1 < 0 , x does not equal to 0 and 1.

x<1/2.

Thus the answer is (-inf, 0) and (0, 1/2)

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