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December 1st, 2014, 03:12 PM   #1
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Does Anyone answer to this?

Really do not understand this question, if anyone knows the answer it would be great help. whoever knows the answer could you tell me why & how you got the answer.

HERE IT IS:

If x is a natural number (i.e., x ∈ N), all but one of the following mean the same thing (i.e., give the same condition on x). Write down the letter corresponding to the odd one out which does not mean the same as the others.
(A) x² < 2
(B) x ∈ {0,1}
(C) x=0 ∨ x=1
(D) 0≤x ∧ x≤1
(E) {x} ⊆ {0,1}
(F) 1 ∈ {1,x}
(G) 0 ≤ x ≤ 1
(H) x̸=0 ⇒ x=1




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Last edited by skipjack; December 1st, 2014 at 07:42 PM.
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December 1st, 2014, 04:12 PM   #2
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F looks rather different to me.
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December 1st, 2014, 06:12 PM   #3
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I agree that it's F.

All of the others imply that either x=0 or x=1. But in F, x could equal any natural number greater than 1.
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December 1st, 2014, 07:55 PM   #4
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F (because that condition is satisfied for every natural number, not just 0 and 1)
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