SOLUTION: Solve the inequality: 1/(x-1) < 5 Show work!

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Question 628275: Solve the inequality:
1/(x-1) < 5
Show work!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28x-1%29+%3C+5+
first of all denominator x-1 could not be 0; so, if x-1=0, => x=1
means, x%3C1
second of all
1+%3C+5%28x-1%29+
1+%3C+5x-5+
1+%2B5%3C+5x+
6%3C+5x+
6%2F5%3C+x+.........or........x%3E6%2F5+
solutions:
(-infinity, 1] and [6%2F5,infinity)