If x^2

Question

If x^2 < x, what is the range of possible values of x ?

A. -1 < x < 1
B. -1 < x < 0
C. 0 < x < 1
D. x > 0
E. x < 0

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thisisakr · Answer

C ——— 0 < x < 1 
x2 < x 
 x2 - x < 0 
 x(x-1) < 0
This is negative when x and (x-1) have opposite signs, which happens only when 0 < x < 1

Adit_ · Answer

Negative values reverse inequality.
Positive values less than 1 prove true for such an inequality.

Answer:  Option C

BongBideshini · Answer

x^2<x
=x(x-1)<0

Drawing the wavy line, we can find that  0<x<1

Answer C

If x^2 < x, what is the range of possible values of x ?