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# Define the symbol * by the following equation: x* = 1 – x, for all non

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Math Expert
Joined: 02 Sep 2009
Posts: 52108
Define the symbol * by the following equation: x* = 1 – x, for all non  [#permalink]

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21 May 2017, 11:21
00:00

Difficulty:

25% (medium)

Question Stats:

80% (01:33) correct 20% (02:00) wrong based on 95 sessions

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Define the symbol * by the following equation: x* = 1 – x, for all non-negative x. If ((1− x)*) * = (1− x)* , then x =

(A) 1/2
(B) 3/4
(C) 1
(D) 2
(E) 3

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Senior Manager
Joined: 24 Apr 2016
Posts: 331
Re: Define the symbol * by the following equation: x* = 1 – x, for all non  [#permalink]

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21 May 2017, 12:50
1
((1− x)*) * = (1− x)*

==> [1-(1-x)]* = 1-(1-x)
==> [1-1+x]* = 1-1+x
==> [x]* = x
==> 1-x = x
==> 1=2x
==> x = 1/2

Re: Define the symbol * by the following equation: x* = 1 – x, for all non &nbs [#permalink] 21 May 2017, 12:50
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