Question 204172
The absolute value of x is greater than x-1. 
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|x| > x-1
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Solve the EQUALITY:
|x| = x-1
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x = x-1 
0 = -1 
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This tells you there are no solutions for the EQUALITY:
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Check any value of x in the inequality:
x = 1/2
|1/2| > (1/2)- s
1/2 > (1/2)-1
No matter what value you pick for "x", x-1 will be less than |x|
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Graphing you see the solution:
{{{graph(400,300,-10,10,-10,10,abs(x),x-1)}}}
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Solution: All Real Numbers
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Cheers,
Stan H.