Question 393143
y=(x-1)^4
y=(x-1)

what real values of x, if any, satisfy the inequality (x-1)^4<(x-1)
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(x-1)^4<(x-1)
Divide by x-1
(x-1)^3 < 1
Take the cube root of both sides
x-1 < 1
x < 2
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The division by x-1 requires that x > 1
1 < x < 2